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

This paper deals with the admissible problem for a class of Takagi-Sugeno (T-S) fuzzy singular systems with interval time-varying delay. By decomposing the delay interval into two unequal subintervals, a simple Lyapunov-Krasovskii functional (LKF) is constructed and a tighter upper bound of the derivative of LKF can be obtained. Several new delay-dependent criteria are derived in terms of linear matrix inequalities (LMIs) to guarantee that the fuzzy singular system is regular, impulse free and asymptotically stable. Compared with some existing results, the proposed ones give the result with less conservatism. Finally, two examples are given to show the effectiveness and the improvement of the proposed method. © 2016, ICIC Express Letters Office. All rights reserved.