Noise-input-to-state stability analysis of switching stochastic nonlinear systems with mode-dependent multiple impulses

Highlights：

• The NISS property, which depicts the relationship among system states, stochastic external inputs and deterministic time-varying infinitesimal covariance of white noises, is addressed by considering two general cases, i.e., the switching instants and impulsive intervals expressed in terms of the mode-dependent average dwell-time and impulsive interval, respectively, and that decided by two mutually independent Poisson processes.Finally, some existing results are improved.

• To construct less conservative results, a time-varying scalar function, which can be positive, negative or sign changes, is introduced to bound the weak infinitesimal generator of Lyapunov functions. Furthermore, by capturing the distinctions of each subsystem and impulsive map, the developed stability conditions are dependent on the subsystem and impulses modes.

摘要

•A general class of stochastic hybrid systems, in which the continuous flows are described by nonautonomous stochastic differential equations and the discrete dynamics involve switchings and impulsive jumps, is considered. We moreover remove the synchronization assumption of switchings and impulses in the previous results.•The NISS property, which depicts the relationship among system states, stochastic external inputs and deterministic time-varying infinitesimal covariance of white noises, is addressed by considering two general cases, i.e., the switching instants and impulsive intervals expressed in terms of the mode-dependent average dwell-time and impulsive interval, respectively, and that decided by two mutually independent Poisson processes.Finally, some existing results are improved.•To construct less conservative results, a time-varying scalar function, which can be positive, negative or sign changes, is introduced to bound the weak infinitesimal generator of Lyapunov functions. Furthermore, by capturing the distinctions of each subsystem and impulsive map, the developed stability conditions are dependent on the subsystem and impulses modes.