Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay

被引：4
|
作者：
Liu, Xikui [1 ]
Li, Wencong [1 ]
Wang, Jiqiu [1 ]
Li, Yan [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Dept Fundamental Courses, Jinan 250031, Peoples R China
来源：
ENTROPY | 2022年 / 24卷 / 06期
基金：
中国国家自然科学基金;
关键词：
discrete-time stochastic system; finite-time stability; nonlinear perturbations; uncertain parameters; time-varying delay; MARKOVIAN JUMP SYSTEMS; H-INFINITY CONTROL; STABILIZATION;
D O I：
10.3390/e24060828
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：24
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