Finite-time input/output-to-state stability of nonlinear stochastic switched time-varying systems with mode-dependent average dwell time

This article investigates the finite-time input/output-to-state stability (FTIOSS) of stochastic switched nonlinear delay systems (SSNDS). This article extends the well-known concepts of input/output-to-state stability to finite-time control problems. By using the finite-time stable function and generalized 𝒦�Script capital L function, we establish an unified FTIOSS criteron for stochastic switched systems, where both stable and unstable switching signals are considered. Compare with the existing works, the main advantage is that the constructed Lyapunov function (LF) is permitted to own indefinite-derivative. Meanwhile, the Razumikhin technique and the mode-dependent average-dwell time (MDADT) approach are introduced to guarantee the FTIOSS of the system. The efficacy of the obtained results is demonstrated by an example.