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The recently developed k-samples variation approach is known as a powerful way to reduce the conservativeness of existing stability and stabilization conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems. In this approach, the Lyapunov functions under consideration are not necessarily decreasing at every sample but are allowed to decrease every k samples, which is evidently less restrictive...
This paper is an attempt to pursue the relaxed stabilization conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems. The main results given here concern their stabilization using extended non-quadratic Lyapunov functions, a non-parallel distributed compensations (non-PDC). New sufficient conditions in the terms of linear matrix inequalities (LMIs) have been proposed. The conditions are shown...
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