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Prof. dr. J.M. (Hans) Schumacher

Faculty of Economics and Business
Section Quantitative Economics
Photographer: Ben Bergmans
Visiting address
  • Roetersstraat 11
Postal address
  • Postbus 15867
    1001 NJ Amsterdam
Contact details
  • recent work

    Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Decision under ambiguity, composed optimization, and quantal response equilibria. August 2024.
    ssrn.com/abstract=4914802

    Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Solving maxmin optimization problems via population games. Final version, February 2024. To appear in Journal of Optimization Theory and Applications.
    https://rdcu.be/dB4Lt (prepublication, open access)

    Anne G. Balter, Johannes M. Schumacher, Nikolaus Schweizer. Dynamical stability of Nash equilibria in tester games. Revised version, March 2023. Original title: Dynamic stability in population games derived from social decision problems, October 2022.
    ssrn.com/abstract=4264872

    J.M. Schumacher. Utilitarian versus neutralitarian design of endowment fund policies. Scandinavian Actuarial Journal 2022(8) (2022), 718-748.
    doi.org/10.1080/03461238.2022.2025892 (open access)

    J.M. Schumacher, P.V. Reddy, J.C. Engwerda. Jump equilibria in public-good differential games with a single state variable. Dynamic Games and Applications 12 (2022), 784-812.
    https://rdcu.be/cE79d (open access)

    J.M. Schumacher. Ex-ante estate division under strong Pareto efficiency. Mathematical Social Sciences 113 (2021), 10-24.
    http://ssrn.com/abstract=3168679 (final revised version)

    J.M. Schumacher. A note on Gollier's model for a collective pension fund. Journal of Pension Economics and Finance 20 (2021), 187-211.
    https://doi.org/10.1017/S1474747220000013 (open access)

    J.M. Schumacher, Introduction to Financial Derivatives. Modeling, Pricing and Hedging. Open Press TiU, September 2020. Free download from www.openpresstiu.org/catalog. Also available in paperback.

    P.V. Reddy, J.M. Schumacher, J.C. Engwerda. Analysis of optimal control problems for hybrid systems with one state variable. SIAM Journal on Control and Optimization 58(6) (2020), 3262-3292.
    http://ssrn.com/abstract=3424771 (final revised version)

    J.M. Schumacher. Efficiency of institutional spending and investment rules. Scandinavian Actuarial Journal 2020(5) 2020, 454-476. 
    https://doi.org/10.1080/03461238.2019.1685589 (open access)

    Hans Schumacher. Een objectieve opslag op de rekenrente is mogelijk met een derivaatmodel. Economisch Statistische Berichten 104(4780) (2019), 595-597.
    esb.nu/esb/20055935/een-objectieve-opslag-op-de-rekenrente-is-mogelijk-met-een-derivaatmodel

    J.M. Schumacher. Linear versus nonlinear allocation rules in risk sharing under financial fairness. ASTIN Bulletin 48(3) (2018), 995-1024.
    http://ssrn.com/abstract=2892760 (final revised version)

    J.M. Schumacher. A multi-objective interpretation of optimal transport. Journal of Optimization Theory and Applications 176(1) (2018), 94-119.  
    https://arxiv.org/pdf/1703.00289.pdf (final revised version)

    J.M. Schumacher. Distortion risk measures, ROC curves, and distortion divergence. Statistics & Risk Modeling 35(1-2) (2018), 35-50. 
    http://ssrn.com/abstract=2956334 (final revised version)

    S.H.J.T. Timmermans, J.M. Schumacher, E.H.M. Ponds. A multi-objective decision framework for lifecycle investment. Revised version, September 2017.
    http://ssrn.com/abstract=3038803

    J. Pazdera, J.M. Schumacher, B.J.M. Werker. The composite iteration algorithm for finding efficient and financially fair risk-sharing rules. Journal of Mathematical Economics 72 (2017), 122-133.
    https://ssrn.com/abstract=2393288 (final revised version)

  • archive (downloadable books and papers)

    Selected publications, partly motivated by reprint requests.

     

    Arjan van der Schaft, Hans Schumacher
    An Introduction to Hybrid Dynamical Systems, 2nd ed. (2024)
    The first edition of this book was published by Springer in the year 2000. Publishing rights for the second and further editions have now been returned to the authors by Springer, enabling the web publication of the present corrected version of the book.

    An Introduction to Hybrid Dynamical Systems (2nd ed.)

    Hailong Bao, Eduard H.M. Ponds, Johannes M. Schumacher
    Multi-period risk sharing under financial fairness
    Insurance: Mathematics and Economics 72 (2017), 49-66

    multi-period risk sharing under financial fairness IME 2017

    M.K. Camlibel, J.M. Schumacher
    Linear passive systems and maximal monotone mappings
    Mathematical Programming Ser. B 157 (2016), 397-420

    passive systems monotone mappings Camlibel Schumacher MathProg 2016

    J.C. Engwerda, B. Roorda, J.M. Schumacher
    Hedging in Interval Models
    pp. 27-86 in: Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J.M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods, Birkhäuser, New York, 2013

    hedging in interval models -- preface Engwerda Roorda Schumacher 2013
    hedging in interval models -- Ch3 intro Engwerda Roorda Schumacher 2013
    hedging in interval models -- Ch4 price intervals Engwerda Roorda Schumacher 2013
    hedging in interval models -- Ch5 robust hedging Engwerda Roorda Schumacher 2013
    hedging in interval models -- Ch6 proofs Engwerda Roorda Schumacher 2013

    F.L.J. Kerkhof, B. Melenberg, J.M. Schumacher
    Model risk and capital reserves
    Journal of Banking and Finance 34 (2010), 267-279

    model risk Kerkhof Melenberg Schumacher JBF 2010

    R. Dai, J.M. Schumacher
    Welfare analysis of conditional indexation schemes from a two-reference-point perspective
    Journal of Pension Economics and Finance 8 (2009), 321-350

    welfare analysis conditional indexation Dai Schumacher JPEF 2009

    J.M. Schumacher
    Time-scaling symmetry and Zeno solutions
    Automatica 45 (2009), 1237-1242

    time-scaling symmetry Automatica 2009

    A. Bemporad, M.K. Camlibel, W.P.M.H. Heemels, A.J. van der Schaft, J.M. Schumacher, B. De Schutter. Further switched systems. In: J. Lunze, F. Lamnabhi-Lagarrigue (eds.), Handbook of Hybrid Systems Control. Theory, Tools, Applications. Cambridge University Press, Cambridge, UK, 2009, pp. 139-192.

    further switched systems Bemporad Camlibel Heemels vdSchaft Schumacher DeSchutter Handbook 2009

    S.J. Berridge, J.M. Schumacher
    An irregular grid approach for pricing high-dimensional American options
    Journal of Computational and Applied Mathematics 222 (2008), 94-111

    irregular grid Berridge Schumacher JCAM 2008

    B. Roorda, J.M. Schumacher, J.C. Engwerda
    Coherent acceptability measures in multiperiod models
    Mathematical Finance 15 (2005), 589-612

    coherent multiperiod Roorda Schumacher Engwerda MF 2005

    J.M. Schumacher
    Control and financial engineering
    In: J. Rosenthal, D.S. Gilliam (eds.), Mathematical Systems Theory in Biology, Communications, Computation and Finance. Springer, New York, 2003, pp. 345-374.
    This is an extended version of an invited presentation given at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame (MTNS 2002). The text aims to introduce mathematical finance to an audience accustomed to the problem formulations and the methods of deterministic control theory.

    control and financial engineering MTNS 2002

    W.P.M.H. Heemels, M.K. Camlibel, J.M. Schumacher
    On the dynamic analysis of piecewise-linear networks
    IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 43 (2002), 315-327

    dynamic analysis of piecewise linear networks IEEE-CAS 2002

    A.J. van der Schaft, J.M. Schumacher
    Compositionality issues in discrete, continuous, and hybrid systems
    International Journal of Robust and Nonlinear Control 11 (2001), 417-434

    2001 compositionality issues vdSchaft Schumacher IJRNC

    M.K. Camlibel, J.M. Schumacher
    On the Zeno behavior of linear complementarity systems
    Proc. 40th IEEE Conference on Decision and Control (CDC 2001), Orlando, FL, USA, Dec. 4-7, 2001, pp. 346-351

    zeno behavior LCS Camlibel Schumacher 2001

    W.P.M.H. Heemels, J.M. Schumacher, S. Weiland
    Linear complementarity systems
    SIAM Journal on Applied Mathematics 60 (2000), 1234-1269

    linear complementarity systems Heemels Schumacher Weiland SIAP 2000

    W.P.M.H. Heemels, J.M. Schumacher, S. Weiland
    Applications of complementarity systems
    In: Proc. European Control Conference 1999 (ECC 99),
    Karslruhe, August 31 - September 3, 1999

    1999 applications complementarity systems Heemels Schumacher Weiland ECC

    A.J. van der Schaft, J.M. Schumacher
    Complementarity modeling of hybrid systems
    IEEE Transactions on Automatic Control AC-43 (1998), 483-490

    complementarity modeling vdSchaft Schumacher IEEE-AC 1998

    U. Helmke, J. Rosenthal,  J.M. Schumacher
    A controllability test for general first-order representations
    Automatica 33 (1997), 193-201

    controllability test Helmke Rosenthal Schumacher Automatica 1997

    C. Heij, J.M. Schumacher, B. Hanzon, C. Praagman (eds.)
    System Dynamics in Economic and Financial Models
    Wiley, Chichester, 1997

    system dynamics Heij Schumacher Hanzon Praagman (eds.) 1997

    A.H.W. Geerts, J.M. Schumacher
    Impulsive-smooth behavior in multimode systems. Part I: State-space and polynomial representations
    Automatica 32 (1996), 747-758

    impulsive-smooth behavior pt. 1 Geerts Schumacher Automatica 1996

    A.H.W. Geerts, J.M. Schumacher
    Impulsive-smooth behavior in multimode systems. Part II: Minimality and equivalence
    Automatica 32 (1996), 819-832

    impulsive-smooth behavior pt. 2 Geerts Schumacher Automatica 1996

    J. Rosenthal, J.M. Schumacher, E.V. York
    On behaviors and convolutional codes
    IEEE Transactions on Information Theory IT-42 (1996), 1881-1891

    behaviors convolutional codes Rosenthal Schumacher York 1996

    M.S. Ravi, J. Rosenthal, J.M. Schumacher
    System equivalences and canonical forms from a behavioral point of view
    In: Proc. 34th IEEE Conf. Dec. Contr. (New Orleans, Dec. 1995), IEEE Press, Piscataway, NJ, 484-489

    system equivalences Ravi Rosenthal Schumacher CDC 1995

    J.M. Schumacher
    System-theoretic trends in econometrics
    In: A.C. Antoulas (ed.), Mathematical System Theory: The Influence of R.E. Kalman, Springer, Berlin, 1991, 559-578
    This paper includes some comments on cointegration, in particular on the Granger Representation Theorem.

    system theory econometrics Kalman volume 1991

    J.M. Schumacher
    Another look at the Brayton-Moser network equations
    In: M.A. Kaashoek, J.H. van Schuppen, A.C.M. Ran (eds.), Realization and Modelling in System Theory (Proc. MTNS-89, Vol. I), Birkhäuser, Boston, 1990, 117-124

    1990 Brayton-Moser network eqns MTNS 1989

    J.M. Schumacher
    Transformations of linear systems under external equivalence
    Linear Algebra and its Applications 102 (1988), 1-34

    external equivalence LAA 1988

    J.M. Schumacher
    Analytic methods for the modeling of flexible structures
    In: A. Bensoussan, J.L. Lions (eds.), Analysis and Optimization of Systems. Proceedings of the 8th International Conference on Analysis and Optimization of Systems, Antibes, June 1988. Lect. Notes in Contr. Inform. Sci. 111, Springer, Berlin, 1988, 461-471

    modeling flexible structures Antibes 1988

    J.M. Schumacher
    Residue formulas for meromorphic matrices
    In: C.I. Byrnes, A. Lindquist (eds.), Computational and Combinatorial Methods in Systems Theory, North-Holland, Amsterdam, 1986, 97-112

    residue formulas MTNS 1985

    H. Nijmeijer, J.M. Schumacher
    On the inherent integration structure of nonlinear systems
    IMA Journal on Mathematical Control and Information 2 (1985), 87-107

    inherent integration structure Nijmeijer Schumacher IMA 1985

    J.M. Schumacher
    A geometric approach to the singular filtering problem
    IEEE Transactions on Automatic Control AC-30 (1985), 1075-1081

    geometric approach to singular filtering IEEE-AC 1985

    J.M. Schumacher
    Almost stabilizability subspaces and high gain feedback
    IEEE Transactions on Automatic Control AC-29 (1984), 620-628

    high gain feedback IEEE-AC 1984

    H. Aling, J.M. Schumacher
    A nine-fold canonical decomposition for linear systems
    International Journal of Control 39 (1984), 779-805

    nine-fold decomposition Aling Schumacher IJC 1984

    J.M. Schumacher
    The role of the dissipation matrix in singular optimal control
    Systems & Control Letters 2 (1983), 262-266

    dissipation matrix in singular optimal control SCL 1983
  • Publications

    2022

    2021

    2020

    2018

    2017

    2016

    2013

    • Roorda, B., & Schumacher, J. M. (2013). Membership conditions for consistent families of monetary valuations. Statistics and Risk Modeling, 30(3), 255-280. https://doi.org/10.1524/strm.2013.1131

    2011

    • Heemels, W. P. M. H., Camlibel, M. K., Schumacher, J. M., & Brogliato, B. (2011). Observer-based control of linear complementarity systems. International Journal of Robust and Nonlinear Control, 21(10), 1193-1218. https://doi.org/10.1002/rnc.1626
    • Roorda, B., & Schumacher, J. M. (2011). The strictest common relaxation of a family of risk measures. Insurance: Mathematics and Economics, 48(1), 29-34. https://doi.org/10.1016/j.insmatheco.2010.09.001
    • Würth, A. M., & Schumacher, J. M. (2011). Risk aversion for nonsmooth utility functions. Journal of Mathematical Economics, 47(2), 109-128. https://doi.org/10.1016/j.jmateco.2010.10.003

    2010

    2009

    2008

    • Berridge, S. J., & Schumacher, J. M. (2008). An irregular grid approach for pricing high-dimensional American options. Journal of Computational and Applied Mathematics, 222(1), 94-111. https://doi.org/10.1016/j.cam.2007.10.045
    • Camlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2008). A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs. Automatica, 44(5), 1261-1267. https://doi.org/10.1016/j.automatica.2007.09.012
    • Camlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2008). Algebraic necessary and sufficient conditions for the controllability of conewise linear systems. IEEE Transactions on Automatic Control, 53(3), 762-774. https://doi.org/10.1109/TAC.2008.916660

    2007

    • Berridge, S. J., & Schumacher, J. M. (2007). Pricing high-dimensional American options using local consistency conditions. In J. Miller, D. Edelman, & J. Appleby (Eds.), Numerical Methods for Finance (pp. 13-52). CRC Press.
    • Roorda, B., & Schumacher, J. M. (2007). Time consistency conditions for acceptability measures, with an application to Tail Value at Risk. Insurance: Mathematics and Economics, 40(2), 209-230. https://doi.org/10.1016/j.insmatheco.2006.04.003

    2006

    • Camlibel, K., Heemels, M., & Schumacher, H. (2006). Stabilizability of bimodal piecewise linear systems with continuous vector field. In Preprints - ADHS'06: 2nd IFAC Conference on Analysis and Design of Hybrid Systems (PART 1 ed., pp. 290-295). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 2, No. PART 1).
    • Kerkhof, F. L. J., Melenberg, B., & Schumacher, J. M. (2006). Testing hedge effectiveness for option positions. Journal of Risk, 8, 61-79.

    2005

    • Roorda, B., Engwerda, J., & Schumacher, J. M. (2005). Performance of hedging strategies in interval models. Kybernetika, 41(5), 575-592.
    • Roorda, B., Schumacher, J. M., & Engwerda, J. (2005). Coherent acceptability measures in multiperiod models. Mathematical Finance, 15(4), 589-612. https://doi.org/10.1111/j.1467-9965.2005.00252.x

    2004

    • Berridge, S. J., & Schumacher, J. M. (2004). An irregular grid method for high-dimensional free-boundary problems in finance. Future Generation Computer Systems, 20(3), 353-362. https://doi.org/10.1016/j.future.2003.07.002
    • Schumacher, JM. (2004). Complementarity systems in optimization. Mathematical programming, 101(1), 263-295. https://doi.org/10.1007/s10107-004-0544-5
    • Çamlibel, M. K., & Schumacher, J. M. (2004). Copositive Lyapunov functions. In V. D. Blondel, & A. Megretski (Eds.), Unsolved Problems in Mathematical Systems and Control Theory (Vol. 9781400826155, pp. 189-193). Princeton University Press.
    • Çamlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2004). On the controllability of bimodal piecewise linear systems. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2993, 250-264.

    2003

    • Heemels, W. P. M. H., Çamlibel, M. K., Van Der Schaft, A. J., & Schumacher, J. M. (2003). Modelling, well-posedness, and stability of switched electrical networks. In O. Maler, & A. Pnueli (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 249-266). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2623). Springer Verlag. https://doi.org/10.1007/3-540-36580-x_20
    • Van Den Broek, W. A., Engwerda, J. C., & Schumacher, J. M. (2003). Robust equilibria in indefinite linear-quadratic differential games. Journal of Optimization Theory and Applications, 119(3), 565-595. https://doi.org/10.1023/B:JOTA.0000006690.78564.88
    • Van den Broek, W. A., Engwerda, J. C., & Schumacher, J. M. (2003). An equivalence result in linear-quadratic theory. Automatica, 39(2), 355-359. https://doi.org/10.1016/S0005-1098(02)00228-5
    • Çamlibel, M. K., Heemels, W. P. M. H., Van der Schaft, A. J., & Schumacher, J. M. (2003). Switched networks and complementarity. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50(8), 1036-1046. https://doi.org/10.1109/TCSI.2003.815195

    2002

    • Berridge, S., & Schumacher, H. (2002). An irregular grid method for solving high-dimensional problems in finance. In Computational Science, ICCS 2002 - International Conference, Proceedings (PART 2 ed., pp. 510-519). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2330 LNCS, No. PART 2). Springer Verlag. https://doi.org/10.1007/3-540-46080-2_53
    • Heemels, W. P. M. H., Çamlibel, M. K., & Schumacher, J. M. (2002). On the dynamic analysis of piecewise-linear networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(3), 315-327. https://doi.org/10.1109/81.989165
    • Heemels, W. P. M. H., Çamlibel, M. K., Van Der Schaft, A. J., & Schumacher, J. M. (2002). Well-posedness of the complementarity class of hybrid systems. In G. Ferrate, E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), IFAC Proceedings Volumes (IFAC-PapersOnline) (1 ed., pp. 421-426). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 35, No. 1). IFAC Secretariat. https://doi.org/10.3182/20020721-6-es-1901.00558
    • Çamlibel, M. K., & Schumacher, J. M. (2002). Existence and uniqueness of solutions for a class of piecewise linear dynamical systems. Linear Algebra and Its Applications, 351-352, 147-184. https://doi.org/10.1016/S0024-3795(01)00593-6
    • Çamlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2002). Consistency of a time-stepping method for a class of piecewise-linear networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(3), 349-357. https://doi.org/10.1109/81.989170
    • Çamlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2002). On linear passive complementarity systems. European Journal of Control, 8(3), 220-237. https://doi.org/10.3166/ejc.8.220-237
    • Çamlibel, M. K., Heemels, W. P. M. H., Van Der Schaft, A. J., & Schumacher, J. M. (2002). Solution concepts for hybrid dynamical systems. In G. Ferrate, E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), IFAC Proceedings Volumes (IFAC-PapersOnline) (1 ed., pp. 415-420). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 35, No. 1). IFAC Secretariat. https://doi.org/10.3182/20020721-6-es-1901.00557

    2001

    • Heemels, W. P. M. H., Çamlibel, M. K., & Schumacher, J. M. (2001). On event-driven simulation of electrical circuits with ideal diodes. Journal Européen des Systèmes Automatisés, 35(4), 467-488.
    • Schumacher, J. M., & Başer, U. (2001). Representability of impulsive input/output behaviors in descriptor form. Systems and Control Letters, 43(5), 337-342. https://doi.org/10.1016/S0167-6911(01)00116-5
    • Van Der Schaft, A. J., & Schumacher, J. M. (2001). Compositionality issues in discrete, continuous, and hybrid systems. International Journal of Robust and Nonlinear Control, 11(5), 417-434. https://doi.org/10.1002/rnc.591
    • Çamlibel, M. K., & Schumacher, J. M. (2001). On the Zeno behavior of linear complementarity systems. Proceedings of the IEEE Conference on Decision and Control, 346-351. https://doi.org/10.1109/CDC.2001.980124

    2000

    1999

    • Camlibel, M. K., & Schumacher, J. M. (1999). Well-posedness of a class of piecewise linear systems. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 3112-3117). Article 7099804 (European Control Conference, ECC 1999 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1999.7099804
    • Heemels, W. P. M. H., Schumacher, J. M., & Weiland, S. (1999). Applications of complementarity systems. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 3132-3137). Article 7099808 (European Control Conference, ECC 1999 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1999.7099808
    • Heemels, W. P. M. H., Schumacher, J. M., & Weiland, S. (1999). The rational complementarity problem. Linear Algebra and Its Applications, 294(1-3), 93-135. https://doi.org/10.1016/S0024-3795(99)00060-9
    • Paice, A. D. B., & Schumacher, J. M. (1999). Hybrid control of gas compressors. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 1464-1468). Article 7099518 (European Control Conference, ECC 1999 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1999.7099518
    • Weeren, A. J. T. M., Schumacher, J. M., & Engwerda, J. C. (1999). Asymptotic analysis of linear feedback Nash equilibria in nonzero-sum linear-quadratic differential games. Journal of Optimization Theory and Applications, 101(3), 693-722. https://doi.org/10.1023/A:1021798322597
    • Weeren, A. J. T. M., Schumacher, J. M., & Engwerda, J. C. (1999). Strategic behavior and noncooperative hierarchical control. Journal of Economic Dynamics and Control, 23(4), 641-669. https://doi.org/10.1016/s0165-1889(98)00033-5

    1998

    • Heemels, W. P. M. H., Schumacher, J. M., & Weiland, S. (1998). Complementarity problems in linear complementarity systems. In Proceedings of the 1998 American Control Conference, ACC 1998 (pp. 706-710). Article 703498 IEEE. https://doi.org/10.1109/ACC.1998.703498
    • Lomadze, V., Ravi, M. S., Rosenthal, J., & Schumacher, J. M. (1998). A behavioral approach to singular systems. Acta Applicandae Mathematicae, 54(3), 331-344. https://doi.org/10.1023/A:1006106222280
    • Van Der Schaft, A. J., & Schumacher, J. M. (1998). Complementarity modeling of hybrid systems. IEEE Transactions on Automatic Control, 43(4), 483-490. https://doi.org/10.1109/9.664151

    1997

    • Cevik, M. K. K., & Schumacher, J. M. (1997). Regulation as an interpolation problem. Linear Algebra and Its Applications, 253(1-3), 311-340. https://doi.org/10.1016/0024-3795(95)00739-3
    • Helmke, U., Rosenthal, J., & Schumacher, J. M. (1997). A controllability test for general first-order representations. Automatica, 33(2), 193-201. https://doi.org/10.1016/S0005-1098(96)00154-9
    • Ravi, M. S., Rosenthal, J., & Schumacher, J. M. (1997). Homogeneous behaviors. Mathematics of control, signals, and systems, 10(1), 61-75. https://doi.org/10.1007/BF01219776
    • Rosenthal, J., & Schumacher, J. M. (1997). Realization by inspection. IEEE Transactions on Automatic Control, 42(9), 1257-1263. https://doi.org/10.1109/9.623088
    • Van Der Schaft, A. J., & Schumacher, J. M. (1997). Hybrid systems described by the complementarity formalism. In O. Maler (Ed.), Hybrid and Real-Time Systems - International Workshop, HART 1997, Proceedings (pp. 403-408). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1201). Springer Verlag. https://doi.org/10.1007/BFb0014742
    • Van Der Schaft, A. J., & Schumacher, J. M. (1997). Hybrid systems modeling and complementarity problems. In ECC 1997 - European Control Conference (pp. 3456-3461). Article 7082648 (ECC 1997 - European Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1997.7082648

    1996

    • Geerts, A. H. W., & Schumacher, J. M. (1996). Impulsive-smooth behavior in multimode systems part I: State-space and polynomial representations. Automatica, 32(5), 747-758. https://doi.org/10.1016/0005-1098(96)00008-8
    • Geerts, A. H. W., & Schumacher, J. M. (1996). Impulsive-smooth behavior in multimode systems part II: Minimality and equivalence. Automatica, 32(6), 819-832. https://doi.org/10.1016/0005-1098(96)00007-6
    • Rosenthal, J., Schumacher, J. M., & York, E. V. (1996). On behaviors and convolutional codes. IEEE Transactions on Information Theory, 42(6 PART 1), 1881-1891. https://doi.org/10.1109/18.556682
    • van der Schaft, A. J., & Schumacher, J. M. (1996). The complementary-slackness class of hybrid systems. Mathematics of control, signals, and systems, 9(3), 266-301. https://doi.org/10.1007/BF02551330

    1995

    1994

    • de Does, J., & Schumacher, J. M. (1994). Continuity of singular perturbations in the graph topology. Linear Algebra and Its Applications, 205-206(C), 1121-1143. https://doi.org/10.1016/0024-3795(94)90382-4
    • de Does, J., & Schumacher, J. M. (1994). Interpretations of the gap topology: a survey. Kybernetika, 30, 105-120.

    1993

    • Kuijper, M., & Schumacher, J. M. (1993). Input/output structure of linear differential-algebraic systems. IEEE Transactions on Automatic Control, 38(3), 404-414. https://doi.org/10.1109/9.210139

    1992

    1991

    • Kuijper, M., & Schumacher, J. M. (1991). Minimality of descriptor representations under external equivalence. Automatica, 27(6), 985-995. https://doi.org/10.1016/0005-1098(91)90133-M
    • Schumacher, J. M. (1991). Equivalence of representations for a class of nonstationary processes. In Proceedings of the IEEE Conference on Decision and Control (pp. 3-8). (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc..

    1990

    • Kuijper, M., & Schumacher, J. M. (1990). Realization of autoregressive equations in pencil and descriptor form. SIAM Journal on Control and Optimization, 28(5), 1162-1189. https://doi.org/10.1137/0328063
    • Schumacher, J. M. (1990). State representations of linear systems with output constraints. Mathematics of control, signals, and systems, 3(1), 61-80. https://doi.org/10.1007/BF02551356

    1988

    1987

    • Bontsema, J., Curtain, R. F., & Schumacher, J. M. (1987). Comparison of some partial differential equation models of flexible structures. In H. E. Rauch (Ed.), IFAC Proceedings Series (3 ed., pp. 287-292). (IFAC Proceedings Series; No. 3). Pergamon Press.

    1986

    • Nijmeijer, H., & Schumacher, J. M. (1986). The regular noninteracting control problem for nonlinear control systems. SIAM Journal on Control and Optimization, 24(6), 1232-1245. https://doi.org/10.1137/0324074
    • Schumacher, J. M. (1986). Residue formulas for meromorphic matrices. In C. I. Byrnes, & A. Lindquist (Eds.), Computational and Combinatorial Methods in Systems Theory: Selected Papers from MTNS-85 (pp. 97-112). North Holland.

    1985

    • Nijmeijer, H., & Schumacher, J. M. (1985). On the inherent integration structure of nonlinear systems. IMA Journal of Mathematical Control and Information, 2(2), 87-107. https://doi.org/10.1093/imamci/2.2.87
    • Nijmeijer, H., & Schumacher, J. M. (1985). Regular local noninteracting control problem for nonlinear control systems. In 1985 24th IEEE Conference on Decision and Control (pp. 388-392). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.1985.268891
    • Nijmeijer, H., & Schumacher, J. M. (1985). Zeros at infinity for affine nonlinear control systems. IEEE Transactions on Automatic Control, 30(6), 566-573. https://doi.org/10.1109/TAC.1985.1104005
    • Schumacher, J. M. (1985). A Geometric Approach to the Singular Filtering Problem. IEEE Transactions on Automatic Control, 30(11), 1075-1082. https://doi.org/10.1109/TAC.1985.1103859

    1984

    • Aling, H., & Schumacher, J. M. (1984). A nine-fold canonical decomposition for linear systems. International Journal of Control, 39(4), 779-805. https://doi.org/10.1080/00207178408933206
    • Nijmeijer, H., & Schumacher, J. M. (1984). Les systèmes non linéaires à plus d'entrées que de sorties ne sont pas inversibles. Comptes rendus. Mathématique, 299, 791-794.
    • Schumacher, J. M. (1984). Almost stabilizability subspaces and high gain feedback. IEEE Transactions on Automatic Control, 29(7), 620-628. https://doi.org/10.1109/TAC.1984.1103595

    1983

    1982

    • Schumacher, J. M. (1982). Regulator synthesis using (C,A,B)-pairs. IEEE Transactions on Automatic Control, 27(6), 1211-1221.

    1980

    1978

    • van Harten, A., & Schumacher, J. M. (1978). On a class of partial functional differential equations arising in feed-back control theory. In W. Eckhaus, & E. M. de Jager (Eds.), Differential Equations and Applications: proceedings of the Third Scheveningen Conference on Differential Equations, The Netherlands, August 29-September 2, 1977 (pp. 161-179). (North-Holland Mathematics Studies; Vol. 31). North-Holland Publishing Co.. https://doi.org/10.1016/S0304-0208(08)70556-5

    2020

    2015

    • Reddy, P. V., Schumacher, J. M., & Engwerda, J. C. (2015). Optimal management with hybrid dynamics—the shallow lake problem. In M. K. Camlibel, A. A. Julius, R. Pasumarthy, & J. M. A. Scherpen (Eds.), Mathematical Control Theory I - Nonlinear and Hybrid Control Systems (pp. 111-136). (Lecture Notes in Control and Information Sciences; Vol. 461). Springer Verlag. https://doi.org/10.1007/978-3-319-20988-3_7

    2013

    • Bernhard, P., Engwerda, J. C., Roorda, B., Schumacher, J. M., Kolokoltsov, V., Saint-Pierre, P., & Aubin, J.-P. (2013). The Interval Market Model in Mathematical Finance: Game-Theoretic Methods. (Static & Dynamic Game Theory: Foundations & Applications). Birkhäuser. https://link.springer.com/book/10.1007/978-0-8176-8388-7

    2009

    • Bemporad, A., Camlibel, M. K., Heemels, W. P. M. H., van der Schaft, A. J., Schumacher, J. M., & De Schutter, B. (2009). Further switched systems. In J. Lunze, & F. Lamnabhi-Lagarrigue (Eds.), Handbook of Hybrid Systems Control: Theory, Tools, Applications (pp. 139-192). Cambridge University Press.
    • Camlibel, M. K., Heemels, W. P. M. H., van der Schaft, A. J., & Schumacher, J. M. (2009). Well-posedness of hybrid systems. In H. Unbehauen (Ed.), Control Systems, Robotics, and Automation: Hybrid Control Systems (Vol. 15, pp. 139-166). (Encyclopedia of Life Support Systems). UNESCO.

    2001

    • Schumacher, J. M. (2001). Between mathematical programming and system theory: linear complementarity systems. In F. Colonius, U. Helmke, D. Praetzel-Wolters, & F. Wirth (Eds.), Advances in Mathematical Control Theory: A Volume in Honor of Diederich Hinrichsen (pp. 185-219). Birkhäuser.
    • van der Schaft, A. J., & Schumacher, J. M. (2001). Modelling and analysis of hybrid dynamical systems. In A. Banos, F. Lamnabhi-Lagarrigue, & F. J. M. (Eds.), Advances in the Control of Nonlinear Systems (pp. 195-224). Springer Verlag.

    2000

    • van der Schaft, A. J., & Schumacher, J. M. (2000). An Introduction to Hybrid Dynamical Systems. (Lecture Notes in Control and Information Sciences; Vol. 251). Springer.

    1999

    • Schumacher, J. M. (1999). Four decades of mathematical system theory. In J. W. Polderman, & H. L. Trentelman (Eds.), The Mathematics of Systems and Control: From Intelligent Control to Behavioral Systems (pp. 73-83). University of Groningen.
    • Schumacher, J. M. (1999). Re-initialization in discontinuous dynamical systems. In V. D. Blondel, E. D. Sontag, M. Vidyasagar, & J. C. Willems (Eds.), Open Problems in Mathematical Systems and Control Theory (pp. 203-210). Springer.

    1997

    • Heij, C., Schumacher, J. M., Hanzon, B., & Praagman, C. (Eds.) (1997). System Dynamics in Economic and Financial Models. (Series in Financial Economics and Quantitative Analysis). John Wiley & Sons.
    • Schumacher, J. M. (1997). Linear systems and discontinuous dynamics. In U. Helmke, D. Praetzel-Wolters, & E. Zerz (Eds.), Operators, Systems, and Linear Algebra: Three Decades of Algebraic Systems Theory (pp. 182-195). Teubner.

    1993

    1991

    • Schumacher, J. M. (1991). System-theoretic trends in econometrics. In A. C. Antoulas (Ed.), Mathematical System Theory: The Influence of R.E. Kalman (pp. 559-578). Springer Verlag.

    1989

    • Nijmeijer, H., & Schumacher, J. M. (Eds.) (1989). Three Decades of Mathematical System Theory: A Collection of Surveys at the Occasion of the 50th Birthday of Jan C. Willems. (Lecture Notes in Control and Information Sciences; Vol. 135). Springer.
    • Schumacher, J. M. (1989). Discrete events: perspectives from system theory. CWI Quarterly, 2(2), 131-146. https://ir.cwi.nl/pub/18160/18160A.pdf
    • Schumacher, J. M. (1989). Linear system representations. In H. Nijmeijer, & J. M. Schumacher (Eds.), Three Decades of Mathematical System Theory: A Collection of Surveys at the Occasion of the 50th Birthday of Jan C. Willems (pp. 382-408). (Lecture Notes in Control and Information Sciences; Vol. 135). Springer Verlag.

    1981

    • Schumacher, J. M. (1981). Dynamic Feedback in Finite- and Infinite-Dimensional Linear Systems. (Mathematical Centre Tracts; Vol. 143). Mathematisch Centrum. https://ir.cwi.nl/pub/13003/13003A.pdf

    2019

    1998

    • Schumacher, J. M. (1998). Declarative, equation-based modeling of hybrid systems. Simulation News Europe, (23), 6-9.

    2003

    • Çamlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2003). Stability and controllability of planar bimodal linear complementarity systems. 1651-1656. Paper presented at 42nd IEEE Conference on Decision and Control, Maui, HI, United States.

    2000

    • Heemels, W. P. M. H., Çamlibel, M. K., & Schumacher, J. M. (2000). A time-stepping method for relay systems. 4461-4466. Paper presented at 39th IEEE Confernce on Decision and Control, Sydney, NSW, Australia.

    1999

    • Camlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (1999). Nature of solutions to linear passive complementarity systems. 3043-3048. Paper presented at The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, .
    • Heemels, W. P. M. H., Schumacher, J. M., & Weiland, S. (1999). Well-posedness of linear complementarity systems. 3037-3042. Paper presented at The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, .

    1997

    • Heemels, W. P. M. H., Schumacher, J. M., & Weiland, S. (1997). Complete description of dynamics in the linear complementary-slackness class of hybrid systems. 1243-1248. Paper presented at Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5), San Diego, CA, USA, .

    1995

    • Rosenthal, J., Schumacher, J. M., Wang, X. A., & Willems, J. C. (1995). Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback. 492-497. Paper presented at Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, .
    • York, E. V., Rosenthal, J., & Schumacher, J. M. (1995). On the relationship between algebraic systems theory and coding theory: representations of codes. 3271-3276. Paper presented at Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, .

    2017

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