Delay-dependent passivity and passification of stochastic impulsive neutral systems with mixed delays

Abstract

This paper is concerned with the problem of delay-dependent passivity analysis and passification for a class of stochastic impulsive neutral systems with mixed delays. To reflect more realistic dynamical behaviors of the system, the stochastic disturbances are considered, which are given in the form of a Brownian motion. By constructing a proper stochastic Lyapunov-Krasovskii function as well as the linear matrix inequalities (LMIs) technique, some novel sufficient conditions are derived to ensure the delay-dependent passivity/passification performance in terms of LMIs. Finally, a numerical example is given to illustrate the theoretical results.