On Stabilization of Switched Linear Systems

Part of the Trends in Mathematics book series (TM)


This paper presents several theoretical results on stabilization of switched linear systems in both continuous-and discrete-time cases. It will be shown that in the continuous-time case, stabilizing feedback laws can be designed under the natural condition that the system switches (arbitrarily) among a finite set of controllable linear systems with finite frequency of switching. The situation in the discrete-time case is somewhat different, and the adaptive stabilization problem will be solved for the case where the switching is modelled as a finite state hidden Markov chain. Some necessary and sufficient conditions will be given to characterize the feedback stabilizability of the switched linear systems.


Switching Stabilization Controllability Estimation Adaptation Markov chain 


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Lei Guo
    • 1
  1. 1.Institute of Systems ScienceChinese Academy of SciencesBeijingP. R. China

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