Improved delay-dependent stability criteria for T–S fuzzy systems with time-varying delay

This paper is concerned with the robust stability of uncertain T–S fuzzy systems with time-varying delay. A novel Lyapunov–Krasovskii functional is established by employing the idea of combining delay-decomposition with state vector augmentation. Then, by employing some integral inequalities and the reciprocally convex approach, some less conservative delay-dependent stability criteria are obtained. The proposed stability conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved efficiently with Semi-Definite Programming (SDP) solvers. Finally, four numerical examples are provided to show that the proposed conditions are less conservative than existing ones.