Abstract
Local stability conditions for time-delay T-S fuzzy systems are proposed by use of a homogeneous polynomial approach. Lesser conservatism can be expected based on the derived stability criteria due to the following three factors: a) a new fuzzy Lyapunov-Krasovskii functional is constructed, which contains a homogeneous polynomially parameter-dependent matrix of degree 2; b) the off-diagonal matrix in Reciprocal Convexity lemma is extended to a homogeneous polynomially parameter-dependent matrix; and c) local stability conditions for time-delay T-S fuzzy systems are proposed to overcome the difficulty of dealing with the time derivative of membership functions. Finally, two numerical examples illustrate the effectiveness of the proposed methods.
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