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Finite-time reliable stabilization for switched stochastic systems under asynchronous switching

In this paper, the finite-time stabilization problems for switched stochastic systems are addressed. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilizing switching law for switched stochastic systems is derived. It is proved that the switched stochastic systems are finite-time stabilizable under asynchronous switching satisfying the average dwell-time condition. Furthermore, the problem of reliable control for switched stochastic systems under asynchronous switching is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.