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- W1978390050 abstract "On the basis of the Lyapunov–Krasovskii method, the exponential stability in the mean square sense is investigated for Itô stochastic systems with Markovian switching and time-varying delay. The statistic properties of the Markov process and Brownian motion are employed to compute the constructed Lyapunov–Krasovskii functional of a rather general form. This enables us to make sense of the challenging problems in the stochastic framework, and then find a way to extend the techniques developed in the deterministic framework. Therefore, the stability conditions are established with the aid of some slack matrices and the boundary conditions on time-varying delay. Numerical examples are given to demonstrate the reduced conservatism." @default.
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- W1978390050 date "2010-12-01" @default.
- W1978390050 modified "2023-09-26" @default.
- W1978390050 title "A new delay-dependent exponential stability criterion for Itô stochastic systems with Markovian switching and time-varying delay" @default.
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- W1978390050 doi "https://doi.org/10.1080/00207720903366031" @default.
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