Title :
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
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;
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
DOI :
10.1109/ICMLC.2007.4370336