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This paper deals with stability of time delayed Takagi-Sugeno (TS) fuzzy systems. By considering a linear function which bound the derivative of fuzzy weighting functions, a relaxed stability method is established. A new stability approach is derived for time delayed TS systems by using integral Lyapunov function. To show the advantages of the proposed approaches, an illustrative example is given.
This work concerns different stability approaches for Takagi-Sugeno (T-S) fuzzy systems. We present some recent approaches based on the idea of multiple Lyapunov functions and slack matrices to reduce the conservatism of stability analysis conditions. Then, new stability conditions are proposed in order to more reduce the conservatism using another upper bound of time-derivative of membership functions,...
In this paper, the problem of H∞ exponential stabilization for T-S fuzzy systems with interval time varying delay, which is more general than constant delay and bounded time varying delay, is investigated. Delay dependent stabilization conditions are derived based on a suitable Lyapunov-Krasovskii Functional and jessen's inequality. The proposed approach has two major advantages. The first is the...
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