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On the Controllability of a Class of Hybrid Control Systems

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Large-Scale Scientific Computing (LSSC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8353))

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Abstract

The paper considers a class of hybrid control systems with piece-wise linear dynamics and controls which are constrained in convex closed cones. A necessary and sufficient condition for small-time controllability is proved. This result extends the classical Kalman controllability criterion.

This work has been partially supported by the Sofia University “St. Kliment Ohridski” under contract No. 013/09.04.2014, by the Commission of the European Communities under the 7-th Framework Programme Marie Curie Initial Training Networks Project “Deterministic and Stochastic Controlled Systems and Applications” FP7-PEOPLE-2007-1-1-ITN, no. 213841-2 and project SADCO, FP7-PEOPLE-2010-ITN, No 264735. This was also supported partially by the French National Research Agency ANR-10-BLAN 0112.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, James Bourchier Blvd. 5, 1164, Sofia, Bulgaria

    Mikhail I. Krastanov

  2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113, Sofia, Bulgaria

    Mikhail I. Krastanov

  3. Laboratoire de Mathématiques, UMR 6205, Université de Bretagne Occidentale, 6 Avenue Victor Le Gorgeu, 29200, Brest Cedex, France

    Marc Quincampoix

Authors
  1. Mikhail I. Krastanov
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  2. Marc Quincampoix
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Corresponding author

Correspondence to Mikhail I. Krastanov .

Editor information

Editors and Affiliations

  1. Inst. of Info. & Comm. Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

  3. Dept. of Informatics and Mathematical Modell, Technical University of Denmark, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Krastanov, M.I., Quincampoix, M. (2014). On the Controllability of a Class of Hybrid Control Systems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2013. Lecture Notes in Computer Science(), vol 8353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43880-0_11

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  • DOI: https://doi.org/10.1007/978-3-662-43880-0_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43879-4

  • Online ISBN: 978-3-662-43880-0

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