Delay-Dependent Robust Asymptotic Stability for Uncertain Fuzzy Systems with Time Delays

Author

Qiu, Ji-qing ; Gao, Zhi-feng ; Wang, Ju-fang ; Wang, Yan-jun

Author_Institution

Hebei Univ. of Sci. & Technol., Shijiazhuang

Volume

3

fYear

2007

fDate

19-22 Aug. 2007

Firstpage

1250

Lastpage

1253

Abstract

This paper considers the robust asymptotical stability for uncertain fuzzy systems with time delays. The uncertainties we investigated in this paper are norm-bounded. On the basis of the Lyapunov-Krasovskii functional approach and the linear matrix inequality, the robust asymptotic stability criteria for uncertain fuzzy systems with time delays are obtained, which depend on the size of time delays. Finally, two numerical examples show the efficiency of our proposed stability criteria.

Keywords

Lyapunov methods; asymptotic stability; delay systems; fuzzy control; linear matrix inequalities; uncertain systems; Lyapunov-Krasovskii functional approach; linear matrix inequality; robust asymptotic stability; time delay; uncertain fuzzy system; Asymptotic stability; Delay effects; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Machine learning; Robust stability; Symmetric matrices; Takagi-Sugeno model; Transmission line matrix methods; Linear Matrix Inequality; Robust Asymptotic Stability; Uncertain Fuzzy Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2007 International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-0973-0

Electronic_ISBN

978-1-4244-0973-0

Type

conf

DOI

10.1109/ICMLC.2007.4370336

Filename

4370336