Robust Stabilization of Uncertain Stochastic Time-Varying Delay Systems with Nonlinearity

Abstract

The problem of robust stabilization for uncertain stochastic time-varying delay system with nonlinearity is studied in this paper. Firstly, by using new method to deal with the integral terms, novel delay-dependent robust stochastic stability criterion is presented for stochastic system without the time-varying parameter uncertainties. Compared with previous results, the novel method can sufficiently utilize more negative items information. Secondly, based on the criterion obtained, robustly stochastic stability condition is proposed for uncertain stochastic system. Thirdly, robustly stochastic stabilization result is obtained, and an appropriate memory state feedback controller can be determined. Finally, a numerical example is given to show our results are effective and less conservative than other reports in previous literatures.