INVARIANCE PRINCIPLES FOR SWITCHED SYSTEMS WITH RESTRICTIONS

In this paper we consider switched nonlinear systems with otherwise arbitrary compact index sets and subjected to different switching constraints. We present invariance principles for these systems and derive, by using observability-like notions, some convergence and asymptotic stability criteria. T...

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Bibliographic Details
Published in:SIAM journal on control and optimization 2011-01, Vol.49 (4), p.1544-1569
Main Authors: MANCILLA-AGUILAR, J. L, GARCIA, R. A
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Hypotheses
Modelling and identification
Principles
Restrictions
System theory
Theorems
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Summary:In this paper we consider switched nonlinear systems with otherwise arbitrary compact index sets and subjected to different switching constraints. We present invariance principles for these systems and derive, by using observability-like notions, some convergence and asymptotic stability criteria. These results enable us to analyze the stability of solutions of switched systems with restrictions originating from the timing of the switchings, state-dependent constrained switching, and switching whose logic has memory; i.e., the active subsystem can only switch to a prescribed subset of subsystems. [PUBLICATION ABSTRACT]
ISSN:0363-0129
1095-7138
DOI:10.1137/090776871