Improved admissibility analysis for T-S fuzzy Markovian jump singular systems with time-varying delays

This article researches the admissibility analysis problem for T-S fuzzy Markovian jump singular systems (MJSSs) with time-varying delays. First, based on the new state decomposition vectors, an extended Lyapunov-Krasovskii functional (LKF) is formulated, which allows that the involved matrices are not all positive definite. And, this LKF not only considers the state integral variable, but also makes full use of the time derivative information of membership function, which undoubtedly provides an advantage to the results. Then, based on free matrix integral inequality, a modified version is derived to estimate the value of integral term generated during the derivation of LKF. Based on extended LKF and modified integral inequality, the admissibility criterion with less conservative is obtained for T-S fuzzy MJSSs. Finally, two simulation examples are offered to demonstrate the effectiveness of proposed method.