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Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach. (English) Zbl 1327.93254
Summary: This paper focuses on the robust stability criteria of uncertain T-S fuzzy systems with time-varying delay by an improved delay-partitioning approach. An appropriate augmented Lyapunov-Krasovskii functional (LKF) is established by partitioning the delay in all integral terms. Since the relationship between each subinterval and time-varying delay has been taken a full consideration, and some tighter bounding inequalities are employed to deal with (time-varying) delay-dependent integral items of the derivative of LKF, less conservative delay-dependent stability criteria can be expected in terms of esand LMIs. Finally, two numerical examples are provided to show that the proposed conditions are less conservative than existing ones.

93C42 Fuzzy control/observation systems
93D20 Asymptotic stability in control theory
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