DocumentCode :
77962
Title :
Stabilizing Switching Signals for Switched Systems
Author :
Kundu, Atreyee ; Chatterjee, Debasish
Author_Institution :
Syst. & Control Eng. Dept., Indian Inst. of Technol. Bombay, Mumbai, India
Volume :
60
Issue :
3
fYear :
2015
fDate :
Mar-15
Firstpage :
882
Lastpage :
888
Abstract :
This article deals with stability of continuous-time switched systems under constrained switching. Given a family of systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which the switched system generated by it and the family of systems is globally asymptotically stable. Our characterization of such stabilizing switching signals involves the asymptotic frequency of switching, the asymptotic fraction of activation of the constituent systems, and the asymptotic densities of admissible transitions among them. Our techniques employ multiple Lyapunov-like functions, and extend preceding results both in scope and applicability.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; signal processing; switching systems (control); Lyapunov-like functions; asymptotic densities; constrained switching; continuous-time switched system stability; globally asymptotically stable systems; switching asymptotic frequency; switching signal stabilization; Asymptotic stability; Linear systems; Silicon; Stability criteria; Switched systems; Switches; Asymptotic stability; multiple Lyapunov functions; switched systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2014.2335291
Filename :
6847680
Link To Document :
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