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New Approach to Exponential Stability Analysis and Stabilization for Delayed T-S Fuzzy Markovian Jump Systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 13، شماره 5، دی 2016، صفحه 1-19 اصل مقاله (228.52 K) | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2730 | ||
| نویسندگان | ||
| Liu Cui* 1؛ Yanchai Liu2؛ Yueying Wang3؛ Dengping Duan2 | ||
| 1School of Computer Science and Information Engineering, Shanghai Institute of Technology, No.100 Haiquan Road, Fengxian Distinct, 201418, Shanghai , China | ||
| 2School of Aeronautics and Astronautics, Shanghai Jiao Tong University, No.800 Dongchuan Road, Minhang Distinct, 200240, Shanghai, China | ||
| 3School of Aeronautics and Astronautics, Shanghai Jiao Tong Uni- versity, No.800 Dongchuan Road, Minhang Distinct, 200240, Shanghai, China | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Delay-dependent exponential stability and stabilization؛ Fuzzy systems؛ Lyapunov-Krasovskii functional؛ Markovian jump systems؛ Mode-dependent time delay | ||
| مراجع | ||
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