A novel stabilization condition for a class of T–S fuzzy time-delay systems

In this paper, a relaxed stabilization problem for a class of Takagi and Sugeno (T–S) fuzzy time-delay systems is explored. By utilizing homogeneous polynomials scheme and Pólya׳s theorem, a relaxed delay-dependent stabilization condition is proposed. In addition, a novel slack matrix scheme is presented for stabilization condition of a class of T–S fuzzy time-delay systems in terms of linear matrix inequalities (LMIs). Lastly, a well-know numerical example and a truck-trailer example are given to demonstrate that the proposed stabilization condition can provide a longer allowable delay time than some existing studies.