New stability and stabilization conditions for T–S fuzzy systems with time delay

This paper is concerned with the problem of the stability analysis and stabilization for Takagi–Sugeno (T–S) fuzzy systems with time delay. A new Lyapunov–Krasovskii functional containing the fuzzy line-integral Lyapunov function and the simple functional is chosen. By using a recently developed Wirtinger-based integral inequality and introducing slack variables, less conservative conditions in terms of linear matrix inequalities (LMIs) are derived. Several examples are given to show the advantages of the proposed results.