Liu Cui - School of Computer Science and Information Engineering, Shanghai Institute of Technology, No.۱۰۰ Haiquan Road, Fengxian Distinct, ۲۰۱۴۱۸, Shanghai , China
Yanchai Liu - School of Aeronautics and Astronautics, Shanghai Jiao Tong University, No.۸۰۰ Dongchuan Road, Minhang Distinct, ۲۰۰۲۴۰, Shanghai, China
Yueying Wang - School of Aeronautics and Astronautics, Shanghai Jiao Tong Uni- versity, No.۸۰۰ Dongchuan Road, Minhang Distinct, ۲۰۰۲۴۰, Shanghai, China
Dengping Duan - School of Aeronautics and Astronautics, Shanghai Jiao Tong University, No.۸۰۰ Dongchuan Road, Minhang Distinct, ۲۰۰۲۴۰, Shanghai, China

This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable. Then, the stabilization conditions are derived and the fuzzy controller can be obtained by solving a set solutions of LMIs. The upper bound of time-delay that the system can be stabilized is given by using an optimal algorithm. Two examples are presented to illustrate the effectiveness and potential of our methods.

Delay-dependent exponential stability and stabilization, Fuzzy systems, Lyapunov-Krasovskii functional, Markovian jump systems, Mode-dependent time delay