Global mean‐square exponential stabilization of stochastic system with time delay via impulsive control
Shiguo Peng, Yun Zhang, Simin Yu · Asian Journal of Control · 2010
Abstract This paper discusses the global mean‐square exponential stabilization problem for a class of nonlinear non‐autonomous stochastic systems with time delay via impulsive controller. By employing the D‐measure of the matrix and establishing a formula for the variation of parameters, some sufficient conditions are proposed for the design of an impulsive controller such that the stochastic impulsive control system with time varying system matrix and time delay is globally mean‐square exponentially stable. Some numerical examples are presented to illustrate the effectiveness of the proposed results. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society