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Journal of Dynamical and Control Systems
Erschienen in: Journal of Dynamical and Control Systems 2/2015

01.04.2015

Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations

verfasst von: Xinghua Liu, Hongsheng Xi

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 2/2015

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Abstract

The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays and nonlinear perturbations is investigated. The perturbations under consideration are time-varying and norm-bounded. By delay interval dividing, a novel augmented Lyapunov functional which contains triple-integral terms to reduce the conservativeness is introduced. Based on the Lyapunov functional approach and the nature of convex combination, some improved delay-range-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities without introducing any free-weighting matrices. Finally, numerical examples are given to illustrate the effectiveness of the developed techniques.
Vorheriger Artikel A Characterization of Normal Forms for Control Systems
Nächster Artikel Erratum to: Metric Geometry of Nonregular Weighted Carnot – Caratheodory Spaces

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Metadaten
Titel
Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations
verfasst von
Xinghua Liu
Hongsheng Xi
Publikationsdatum
01.04.2015
Verlag
Springer US
Erschienen in
Journal of Dynamical and Control Systems / Ausgabe 2/2015
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-014-9265-0

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