Delay-dependent Passive Analysis and Control for Interval Stochastic Time-delay Systems


1 School of Mathematics and Statistics, Huazhong University of Science and Technology,Wuhan, Hubei 430074, P. R. China

2 Office of Human resources, Huanggang Normal University, Huanggang438000, Hubei Province, P. R. China

3 School of Materials Science and Engineering, Central South University, Changsha 410083, Hunan Province, P. R. China


This paper is concerned with the problem of delay-dependent passive analysis and control for interval stochastic time-delay systems. The system matrices are assumed to be uncertain within given intervals, the time delay is a time-varying continousfunction belonging to a given range, and the stochastic perturbation is in the form of a Brownian motion. By using ItÔ’s differential formula and the Lyapunov stability theory, delay-dependent stochastic passive control criteria are proposed without ignoring any useful terms by considering the information of the lower bound and upper bound for the time delay. Based on the criteria obtained, a delay-dependent passive controller that ensures stochastic passivity of the closed-loop system is presented. Then, the controller gain is characterized in terms of LMIs, which can be easily checked by resorting to available software packages. Numerical examples are given to demonstrate the effectiveness of the method.