Exponential stability for fuzzy time-delay systems with delayed impulses

Wu-hua Chen; Dan Wei; Wei Xing Zheng

Exponential stability for fuzzy time-delay systems with delayed impulses

Wu-hua Chen, Dan Wei, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

This paper is concerned with the exponential stability problem of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The time-dependent Lyapunov function method, together with the Razumikhin technique, is utilized to develop a sufficient condition for guaranteeing exponential stability of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The new exponential stability condition is not only represented by linear matrix inequalities (LMIs) but also characterized by the lower bound and the upper bound of impulsive intervals. The workability of the theoretical results is demonstrated by an illustrative example.

Original language	English
Title of host publication	Proceedings of the 2012 Australian Control Conference, 15-16 November 2012, Sydney, Australia
Publisher	Engineers Australia
Pages	126-131
Number of pages	6
ISBN (Print)	9781922107633
Publication status	Published - 2012
Event	Australian Control Conference - Duration: 15 Nov 2012 → …

Conference

Conference	Australian Control Conference
Period	15/11/12 → …

Keywords

fuzzy systems
time delay systems

Cite this

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title = "Exponential stability for fuzzy time-delay systems with delayed impulses",

abstract = "This paper is concerned with the exponential stability problem of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The time-dependent Lyapunov function method, together with the Razumikhin technique, is utilized to develop a sufficient condition for guaranteeing exponential stability of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The new exponential stability condition is not only represented by linear matrix inequalities (LMIs) but also characterized by the lower bound and the upper bound of impulsive intervals. The workability of the theoretical results is demonstrated by an illustrative example.",

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author = "Wu-hua Chen and Dan Wei and Zheng, {Wei Xing}",

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T1 - Exponential stability for fuzzy time-delay systems with delayed impulses

AU - Chen, Wu-hua

AU - Wei, Dan

AU - Zheng, Wei Xing

PY - 2012

Y1 - 2012

N2 - This paper is concerned with the exponential stability problem of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The time-dependent Lyapunov function method, together with the Razumikhin technique, is utilized to develop a sufficient condition for guaranteeing exponential stability of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The new exponential stability condition is not only represented by linear matrix inequalities (LMIs) but also characterized by the lower bound and the upper bound of impulsive intervals. The workability of the theoretical results is demonstrated by an illustrative example.

AB - This paper is concerned with the exponential stability problem of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The time-dependent Lyapunov function method, together with the Razumikhin technique, is utilized to develop a sufficient condition for guaranteeing exponential stability of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The new exponential stability condition is not only represented by linear matrix inequalities (LMIs) but also characterized by the lower bound and the upper bound of impulsive intervals. The workability of the theoretical results is demonstrated by an illustrative example.

KW - fuzzy systems

KW - time delay systems

UR - http://handle.uws.edu.au:8081/1959.7/524221

UR - http://www.aucc.org.au/sydney/AUCC2012/Home.html

M3 - Conference Paper

SN - 9781922107633

SP - 126

EP - 131

BT - Proceedings of the 2012 Australian Control Conference, 15-16 November 2012, Sydney, Australia

PB - Engineers Australia

T2 - Australian Control Conference

Y2 - 15 November 2012

ER -

Exponential stability for fuzzy time-delay systems with delayed impulses

Abstract

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Keywords

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