On finite-time stability for nonlinear impulsive switched systems

This paper is concerned with the finite-time stability problem for switched systems subject to both nonlinear perturbation and impulse effects. The average dwell time approach, combined with the algebraic matrix theory, is utilized to derive a criterion guaranteeing that the state trajectory does no...

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Published inNonlinear analysis: real world applications Vol. 14; no. 1; pp. 807 - 814
Main Authors Wang, Yijing, Shi, Xiaomeng, Zuo, Zhiqiang, Chen, Michael Z.Q., Shao, Yitian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2013
Subjects
Algebra
Asymptotic properties
Average dwell time
Criteria
Dwell time
Finite-time stability
Impulse effects
Matrix theory
Nonlinear perturbation
Nonlinearity
Perturbation methods
Stability
Switched systems
Switched systems
Nonlinear perturbation
Finite-time stability
Average dwell time
Impulse effects
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ISSN1468-1218
1878-5719
DOI10.1016/j.nonrwa.2012.08.003

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Summary:This paper is concerned with the finite-time stability problem for switched systems subject to both nonlinear perturbation and impulse effects. The average dwell time approach, combined with the algebraic matrix theory, is utilized to derive a criterion guaranteeing that the state trajectory does not exceed a certain threshold over a pre-specified finite-time interval. The requirement that at least one subsystem should be stable to ensure asymptotic stability is no longer necessary. Moreover, the finite-time stability degree could be positive, which is a relaxed condition for asymptotic stability. A numerical example is presented to illustrate the effectiveness of the proposed method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2012.08.003