On stability of switched time-delay systems subject to nonlinear stochastic perturbations

Yun Chen; Wei Xing Zheng

On stability of switched time-delay systems subject to nonlinear stochastic perturbations

Research output: Chapter in Book / Conference Paper › Conference Paper

6 Citations (Scopus)

Abstract

In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.

Original language	English
Title of host publication	Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, Georgia, 15-17 Dec. 2010
Publisher	IEEE Press
Pages	2644-2649
Number of pages	6
ISBN (Print)	9781424477456
Publication status	Published - 2010
Event	IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → …

Conference

Conference	IEEE Conference on Decision and Control
Period	12/12/17 → …

Keywords

asymptotic stability
stochastic processes

Cite this

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title = "On stability of switched time-delay systems subject to nonlinear stochastic perturbations",

abstract = "In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.",

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author = "Yun Chen and Zheng, {Wei Xing}",

year = "2010",

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booktitle = "Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, Georgia, 15-17 Dec. 2010",

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note = "IEEE Conference on Decision and Control ; Conference date: 12-12-2017",

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TY - GEN

T1 - On stability of switched time-delay systems subject to nonlinear stochastic perturbations

AU - Chen, Yun

AU - Zheng, Wei Xing

PY - 2010

Y1 - 2010

N2 - In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.

AB - In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.

KW - asymptotic stability

KW - stochastic processes

UR - http://handle.uws.edu.au:8081/1959.7/504738

M3 - Conference Paper

SN - 9781424477456

SP - 2644

EP - 2649

BT - Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, Georgia, 15-17 Dec. 2010

PB - IEEE Press

T2 - IEEE Conference on Decision and Control

Y2 - 12 December 2017

ER -

On stability of switched time-delay systems subject to nonlinear stochastic perturbations

Abstract

Conference

Keywords

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