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.

引用

页数：24

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