Finite-time stability and stabilization of nonlinear stochastic hybrid systems |
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Authors: | Ying Yang Junmin Li |
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Institution: | a Department of Applied Mathematics, Xidian University, Xi'an, 710071, PR China b School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, 310018, PR China c Department of Mathematics, Huizhou University, Huizhou, 516007, PR China |
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Abstract: | This paper deals with the problem of finite-time stability and stabilization of nonlinear Markovian switching stochastic systems which exist impulses at the switching instants. Using multiple Lyapunov function theory, a sufficient condition is established for finite-time stability of the underlying systems. Furthermore, based on the state partition of continuous parts of systems, a feedback controller is designed such that the corresponding impulsive stochastic closed-loop systems are finite-time stochastically stable. A numerical example is presented to illustrate the effectiveness of the proposed method. |
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Keywords: | Finite-time stability Impulsive systems Markovian switching Brownian motion Stabilization |
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