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EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY HYBRID SYSTEMS WITH MARKOVIAN SWITCHING

EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY HYBRID SYSTEMS WITH MARKOVIAN SWITCHING
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摘要 This paper deals with the problem of norm bounds for the solutions of stochastic hybrid systems with Markovian switching and time delay. Based on Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality (LMI) approach, mean square exponential estimates for the solutions of this class of linear stochastic hybrid systems are derived. Finally, An example is illustrated to show the applicability and effectiveness of our method. This paper deals with the problem of norm bounds for the solutions of stochastic hybrid systems with Markovian switching and time delay. Based on Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality (LMI) approach, mean square exponential estimates for the solutions of this class of linear stochastic hybrid systems are derived. Finally, An example is illustrated to show the applicability and effectiveness of our method.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第3期334-342,共9页 高校应用数学学报(英文版)(B辑)
基金 Supported by the NNSF of China(10671078).
关键词 exponential estimate linear matrix inequality (LMI) UNCERTAINTY Lyapunov-Krasovskii functional. exponential estimate, linear matrix inequality (LMI), uncertainty, Lyapunov-Krasovskii functional.
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