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On the Controllability of Bimodal Piecewise Linear Systems

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Hybrid Systems: Computation and Control (HSCC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2993))

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Abstract

This paper studies controllability of bimodal systems that consist of two linear dynamics on each side of a given hyperplane. We show that the controllability properties of these systems can be inferred from those of linear systems for which the inputs are constrained in a certain way. Inspired by the earlier work on constrained controllability of linear systems, we derive necessary and sufficient conditions for a bimodal piecewise linear system to be controllable.

Sponsored by the EU project “SICONOS” (IST-2001-37172) and STW grant “Analysis and synthesis of systems with discrete and continuous control” (EES 5173)

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References

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Author information

Authors and Affiliations

  1. Dept. of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands

    M. K. Çamlıbel & J. M. Schumacher

  2. Dept. of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    M. K. Çamlıbel & W. P. M. H. Heemels

  3. Dept. of Electronics and Communication Eng., Dogus University, Acibadem, Kadikoy-Istanbul, 81010, Turkey

    M. K. Çamlıbel

Authors
  1. M. K. Çamlıbel
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  2. W. P. M. H. Heemels
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  3. J. M. Schumacher
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Editor information

Editors and Affiliations

  1. University of Pennsylvania,  

    Rajeev Alur

  2. School of Engineering and Applied Science, University of Pennsylvania,  

    George J. Pappas

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© 2004 Springer-Verlag Berlin Heidelberg

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Çamlıbel, M.K., Heemels, W.P.M.H., Schumacher, J.M. (2004). On the Controllability of Bimodal Piecewise Linear Systems. In: Alur, R., Pappas, G.J. (eds) Hybrid Systems: Computation and Control. HSCC 2004. Lecture Notes in Computer Science, vol 2993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24743-2_17

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  • DOI: https://doi.org/10.1007/978-3-540-24743-2_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21259-1

  • Online ISBN: 978-3-540-24743-2

  • eBook Packages: Springer Book Archive

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