Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems

Chin Tzong Pang; Sy Ming Guu

doi:10.1109/TFUZZ.2003.817859

Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems

Chin Tzong Pang^*, Sy Ming Guu

^*Corresponding author for this work

Yuan Ze University

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

21 Scopus citations

Abstract

In this paper, we will study the stability issues of the linear Takagi-Sugeno (T-S) free fuzzy systems. Based on matrix norm, we propose a new sufficient condition for the linear T-S free fuzzy system to be globally asymptotically stable. We then study the stability analysis in the case of systems with consequent parameter uncertainty. Based on Mayer's convergent theorem, we propose a sufficient condition, which is easily implemented, for the systems with consequent parameter uncertainty to be globally asymptotically stable.

Original language	English
Pages (from-to)	695-700
Number of pages	6
Journal	IEEE Transactions on Fuzzy Systems
Volume	11
Issue number	5
DOIs	https://doi.org/10.1109/TFUZZ.2003.817859
State	Published - 10 2003
Externally published	Yes

Keywords

Common Lyapunov function
Common norm
Globally asymptotic stability
Interval matrices
Takagi-Sugeno(T-S) free fuzzy systems

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10.1109/TFUZZ.2003.817859

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abstract = "In this paper, we will study the stability issues of the linear Takagi-Sugeno (T-S) free fuzzy systems. Based on matrix norm, we propose a new sufficient condition for the linear T-S free fuzzy system to be globally asymptotically stable. We then study the stability analysis in the case of systems with consequent parameter uncertainty. Based on Mayer's convergent theorem, we propose a sufficient condition, which is easily implemented, for the systems with consequent parameter uncertainty to be globally asymptotically stable.",

keywords = "Common Lyapunov function, Common norm, Globally asymptotic stability, Interval matrices, Takagi-Sugeno(T-S) free fuzzy systems",

author = "Pang, {Chin Tzong} and Guu, {Sy Ming}",

year = "2003",

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AU - Guu, Sy Ming

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AB - In this paper, we will study the stability issues of the linear Takagi-Sugeno (T-S) free fuzzy systems. Based on matrix norm, we propose a new sufficient condition for the linear T-S free fuzzy system to be globally asymptotically stable. We then study the stability analysis in the case of systems with consequent parameter uncertainty. Based on Mayer's convergent theorem, we propose a sufficient condition, which is easily implemented, for the systems with consequent parameter uncertainty to be globally asymptotically stable.

KW - Common Lyapunov function

KW - Common norm

KW - Globally asymptotic stability

KW - Interval matrices

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ER -

Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems

Abstract

Keywords

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