New results on stability of fuzzy time-varying delayed systems

Zhiguang Feng; Wei Xing Zheng

doi:10.1109/ISIC.2015.7307298

New results on stability of fuzzy time-varying delayed systems

Zhiguang Feng, Wei Xing Zheng

Western Sydney University

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

Abstract

This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.

Original language	English
Title of host publication	2015 IEEE International Symposium on Intelligent Control (ISIC 2015), September 21-23, 2015, Sydney, Australia : Proceedings
Publisher	IEEE
Pages	912-917
Number of pages	6
ISBN (Print)	9781479977888
DOIs	https://doi.org/10.1109/ISIC.2015.7307298
Publication status	Published - 2015
Event	IEEE International Symposium on Intelligent Control - Duration: 21 Sept 2015 → …

Conference

Conference	IEEE International Symposium on Intelligent Control
Period	21/09/15 → …

Keywords

Lyapunov functions
fuzzy systems
time delay systems

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10.1109/ISIC.2015.7307298

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title = "New results on stability of fuzzy time-varying delayed systems",

abstract = "This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.",

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note = "IEEE International Symposium on Intelligent Control ; Conference date: 21-09-2015",

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AU - Zheng, Wei Xing

PY - 2015

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N2 - This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.

AB - This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.

KW - Lyapunov functions

KW - fuzzy systems

KW - time delay systems

UR - http://handle.uws.edu.au:8081/1959.7/uws:34306

U2 - 10.1109/ISIC.2015.7307298

DO - 10.1109/ISIC.2015.7307298

M3 - Conference Paper

SN - 9781479977888

SP - 912

EP - 917

BT - 2015 IEEE International Symposium on Intelligent Control (ISIC 2015), September 21-23, 2015, Sydney, Australia : Proceedings

PB - IEEE

T2 - IEEE International Symposium on Intelligent Control

Y2 - 21 September 2015

ER -

New results on stability of fuzzy time-varying delayed systems

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Keywords

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