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

Access to Document

10.1109/TFUZZ.2003.817859

Cite this

@article{fd4a3c16976a4aadb6d260b6b898ed0b,

title = "Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems",

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",

month = oct,

doi = "10.1109/TFUZZ.2003.817859",

language = "英语",

volume = "11",

pages = "695--700",

journal = "IEEE Transactions on Fuzzy Systems",

issn = "1063-6706",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "5",

}

TY - JOUR

T1 - Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems

AU - Pang, Chin Tzong

AU - Guu, Sy Ming

PY - 2003/10

Y1 - 2003/10

N2 - 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.

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

KW - Takagi-Sugeno(T-S) free fuzzy systems

UR - https://www.scopus.com/pages/publications/0142165216

U2 - 10.1109/TFUZZ.2003.817859

DO - 10.1109/TFUZZ.2003.817859

M3 - 文章

AN - SCOPUS:0142165216

SN - 1063-6706

VL - 11

SP - 695

EP - 700

JO - IEEE Transactions on Fuzzy Systems

JF - IEEE Transactions on Fuzzy Systems

IS - 5

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this