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On the Stabilizability of Control Constrained Linear Systems

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Numerical Methods and Applications (NMA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

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Abstract

We study the problem of stabilization of time-invariant linear systems with controls which are constrained in a cone. Under small-time local controllability conditions we propose a simple construction of a Lipschitz piecewise linear stabilizing feedback. Moreover, we show that the stabilizing feedback can be chosen in such a way that the number of switchings from one linear form to another, that may occur along a trajectory of the closed-loop system, is uniformly bounded.

This research was partially supported by the Austrian Science Foundation under contract N0. 14060-OEK and by the Ministry of Science and Higher Education - National Fund for Science Research under contracts MM-807/98 and MM-1104/01.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. bl.8, 1113, Sofia

    Mikhail Krastanov & Vladimir Veliov

  2. Institute for Econometrics, Operations Research and Systems Theory, Vienna University of Technology, Argentinierstrasse 8, A-1040, Vienna, Austria

    Vladimir Veliov

Authors
  1. Mikhail Krastanov
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  2. Vladimir Veliov
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Editor information

Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, bl. 25A, 1113, Sofia, Bulgaria

    Ivan Dimov , Ivan Lirkov  & Svetozar Margenov ,  & 

  2. National Environmental Research Institute, Frederiksborgvej 399, P.O. Box 358, 4000, Roskilde, Denmark

    Zahari Zlatev

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© 2003 Springer-Verlag Berlin Heidelberg

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Krastanov, M., Veliov, V. (2003). On the Stabilizability of Control Constrained Linear Systems. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_26

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  • DOI: https://doi.org/10.1007/3-540-36487-0_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

  • eBook Packages: Springer Book Archive

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