Improved stability condition for Takagi-Sugeno fuzzy systems with time-varying delay

Zhiguang Feng; Wei Xing Zheng

doi:10.1109/TCYB.2016.2523544

Improved stability condition for Takagi-Sugeno fuzzy systems with time-varying delay

Zhiguang Feng
, Wei Xing Zheng

Research output: Contribution to journal › Article › peer-review

123 Citations (Scopus)

Abstract

In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the improved reciprocally convex combination technique, an improved stability condition is derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the efficiency of the obtained result.

Original language	English
Pages (from-to)	661-670
Number of pages	10
Journal	IEEE Transactions on Cybernetics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1109/TCYB.2016.2523544
Publication status	Published - 2017

Keywords

Lyapunov functions
fuzzy systems
time delay systems

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10.1109/TCYB.2016.2523544

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title = "Improved stability condition for Takagi-Sugeno fuzzy systems with time-varying delay",

abstract = "In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the improved reciprocally convex combination technique, an improved stability condition is derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the efficiency of the obtained result.",

keywords = "Lyapunov functions, fuzzy systems, time delay systems",

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AU - Feng, Zhiguang

AU - Zheng, Wei Xing

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AB - In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the improved reciprocally convex combination technique, an improved stability condition is derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the efficiency of the obtained result.

KW - Lyapunov functions

KW - fuzzy systems

KW - time delay systems

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:39623

U2 - 10.1109/TCYB.2016.2523544

DO - 10.1109/TCYB.2016.2523544

M3 - Article

C2 - 26890946

SN - 2168-2267

VL - 47

SP - 661

EP - 670

JO - IEEE Transactions on Cybernetics

JF - IEEE Transactions on Cybernetics

IS - 3

ER -

Improved stability condition for Takagi-Sugeno fuzzy systems with time-varying delay

Abstract

Keywords

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