Geodesic
STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS
LIU , XINZHI 1 ; STECHLINSKI, PETER1
1 Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Waterloo, Canada
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 203-221.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper develops hybrid control strategies for stabilizing a class of nonlinear systems. Common Lyapunov functions and switched Lyapunov functions are used to establish easily verifiable criteria for the stabilizability of weakly nonlinear systems under switched and impulsive control. Three types of controller switching rules are studied: time-dependent (synchronous), state-dependent (asynchronous) and average dwell-time satisfying. Conditions are developed for stabilizability under arbitrary switching, as well as less strict conditions for prespecified switching rules. Examples are given, with simulations, to illustrate the theorems developed.
DOI : 10.22436/jnsa.003.03.07
Classification : 93C30, 37C75, 93D15
Keywords: Hybrid systems, Switched systems, Stabilizability, Switched control, Impulsive control, Synchronous switching, State-dependent switching, Dwell-time switching.

LIU , XINZHI  1 ; STECHLINSKI, PETER 1

1 Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Waterloo, Canada 
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LIU , XINZHI ; STECHLINSKI, PETER. STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 3, p. 203-221. doi : 10.22436/jnsa.003.03.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.03.07/

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