Relaxed stabilization of T-S fuzzy systems with time-delay

In this paper, the relaxed stabilization problem for Takagi and Sugeno (T-S) fuzzy systems with time-delay is investigated. Based on the concept of homogeneous polynomials and Pólya´s theorem, a stabilization condition for T-S fuzzy systems with time-delay is proposed in terms of a linear matrix inequality to guarantee the asymptotic stabilization of T-S fuzzy systems with time-delay. In addition, by using the Kronecker product, a more relaxed stabilization condition is proposed. Lastly, an example is given to demonstrate that the proposed stabilization condition can provide the maximum allowable delay time than some existing results.