Abstract

This paper presents more relaxed delay-dependant conditions for stability analysis and stabilization of time-delay nonlinear systems expressed as a Takagi-Sugeno model. These conditions arise using a combination of a non-quadratic Lyapunov-Krasovskii functional with a recent integral inequality that reduces the conservatism of previous approaches. Sufficient conditions for stability and controller design are established in terms of linear matrix inequalities. Some numerical examples are given to show the effectiveness of the proposed approach in comparison with other recent results.

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