Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay |
| |
| Authors: | Xikui Liu Wencong Li Jiqiu Wang Yan Li |
| |
| Affiliation: | 1.College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China; (X.L.); (W.L.); (J.W.);2.Department of Fundamental Courses, Shandong University of Science and Technology, Jinan 250031, China |
| |
| Abstract: | The main concern of this paper is finite-time stability (FTS) for uncertain discrete-time stochastic nonlinear systems (DSNSs) with time-varying delay (TVD) and multiplicative noise. First, a Lyapunov–Krasovskii function (LKF) is constructed, using the forward difference, and less conservative stability criteria are obtained. By solving a series of linear matrix inequalities (LMIs), some sufficient conditions for FTS of the stochastic system are found. Moreover, FTS is presented for a stochastic nominal system. Lastly, the validity and improvement of the proposed methods are shown with two simulation examples. |
| |
| Keywords: | discrete-time stochastic system finite-time stability nonlinear perturbations uncertain parameters time-varying delay |
|
|
