On Stabilization of Switched Linear Systems
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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.
KeywordsSwitching Stabilization Controllability Estimation Adaptation Markov chain
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