Journals Information
Universal Journal of Control and Automation(CEASE PUBLICATION) Vol. 2(1), pp. 32 - 41
DOI: 10.13189/ujca.2014.020105
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Robust Stability Analysis for T-S Fuzzy Neural Networks with Time-varying Delays
Pin-Lin Liu *
Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Taiwan
ABSTRACT
In this paper, the robust stability of T-S fuzzy uncertain system for neural networks with time-varying delays is investigated. The constraint on the time-varying delay function is removed, which means that a fast time-varying delay is allowed. Based on the Lyapunov- Krasovskii functional techniques and integral inequality approach (IIA), novel robust stability criteria have been derived in terms of linear matrix inequalities which can be easily solved using the efficient convex optimization algorithm. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Examples are included to illustrate our results. These results are shown to be less conservative than those reported in the literature.
KEYWORDS
T鈥揝 Fuzzy Systems, Time-Varying Delay, Lyapunov-Krasovskii Functional, Linear Matrix Inequalities (Lmis), Integral Inequality Approach (IIA)
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Pin-Lin Liu , "Robust Stability Analysis for T-S Fuzzy Neural Networks with Time-varying Delays," Universal Journal of Control and Automation(CEASE PUBLICATION), Vol. 2, No. 1, pp. 32 - 41, 2014. DOI: 10.13189/ujca.2014.020105.
(b). APA Format:
Pin-Lin Liu (2014). Robust Stability Analysis for T-S Fuzzy Neural Networks with Time-varying Delays. Universal Journal of Control and Automation(CEASE PUBLICATION), 2(1), 32 - 41. DOI: 10.13189/ujca.2014.020105.