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This paper is concerned with the problem of the stability of fuzzy systems with interval time-varying delay. The Takagi-Sugeno (T-S) fuzzy models is introduced to approximate the fuzzy systems. A less conservative delay-dependent stability criterion of fuzzy systems is given in the form of linear matrix inequalities. Some free-weighting matrices are introduced to get a less conservative stability...
A new delay bisection approach has been proposed to solving the problem of the stability of fuzzy systems with interval time-varying delay. The time-delay is assumed to be a time-varying function belonging to a given interval. Based on a Lyapunov-Krasovskii functional, a new sufficient condition on the asymptotical stability of the system is obtained by using the delay bisection method. Two numerical...
The problem of the stability of fuzzy systems with interval time-varying delay is addressed. The time-delay is assumed to belong to a given interval. The systems are approximated by Takagi-Sugeno(T-S)fuzzy models with interval time-varying delay. A Lyapunov-Krasovskii functional, which is based on both the lower and upper bounds of interval time-varying delay, is proposed to derive a less conservative...
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