Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays

This article extends the finite-time input-to-state stability (FTISS) to switched stochastic time-varying nonlinear systems with time delays. By using the methods of Razumikhin theorem, comparison principle combined with average dwell-time (ADT) approach, several sufficient conditions of nonlinear switched stochastic delayed systems are analyzed to obtain ISS property in the framework of finite time. Compared with the existing results, we allow the upper bound estimation for the derivative of Lyapunov function to be time-varying, which takes both positive and negative values. Finally, an example is given to illustrate the effectiveness of the proposed results.