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| Received:February 14, 2008Revised:July 24, 2008 |
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| Delay-dependent exponential stability criteria for stochastic systems with polytopic-type uncertainties |
| Yumei LI, Xinping GUAN, Dan PENG , Changchun HUA, Xiaoyuan LUO |
| (Institute of Mathematics and System Science, Xinjiang University, Urumuqi Xinjiang 830046, China; Institute of Electrical Engineering, Yanshan University, Qinhuangdao Hebei 066004, China) |
| Abstract: |
| This paper considers the problem of delay-dependent exponential stability in mean square for stochastic systems with polytopic-type uncertainties and time-varying delay. Applying the descriptor model transformation and introducing free weighting matrices, a new type of Lyapunov-Krasovskii functional is constructed based on linear matrix inequalities (LMIs), and some new delay-dependent criteria are obtained. These criteria include the delay-independent/ratedependent and delay-dependent/rate-independent exponential stability criteria. These new criteria are less conservative than existing ones. Numerical examples demonstrate that these new criteria are effective and are an improvement over existing ones. |
| Key words: Stochastic system Exponential stability in mean square Time-varying state delay Delay-dependent criteria Linear matrix inequality (LMI) |
