Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems

摘要

This paper mainly tends to investigate the finite-time stochastic input-to-state stability (FTSISS) problem for a class of impulsive switched stochastic nonlinear systems. An efficient lemma is firstly established to construct a generalized class KL function. Further, a set of Lyapunov-based sufficient conditions are derived to check the finite-time stability in probability (FTSiP) and finite-time input-to-state stability (FTISS) properties of switched stochastic nonlinear systems with or without impulses. In particular, some useful results in favor of simulations are obtained in terms of average dwell-time technique. Finally, a numerical example is provided to illustrate the effectiveness of proposed results.