Abstract
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.
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Guo, L. (2003). On Stabilization of Switched Linear Systems. In: Hashimoto, K., Oishi, Y., Yamamoto, Y. (eds) Control and Modeling of Complex Systems. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0023-9_13
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DOI: https://doi.org/10.1007/978-1-4612-0023-9_13
Publisher Name: Birkhäuser, Boston, MA
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