Robust finite-time stability of discrete time systems with interval time-varying delay and nonlinear perturbations

被引:17
|
作者
Stojanovic, Sreten B. [1 ]
机构
[1] Univ Nis, Fac Technol, Dept Engn Sci & Math, Bulevar Oslobodjenja 124, Leskovac 16000, Serbia
关键词
H-INFINITY CONTROL; SWITCHED NEURAL-NETWORKS; STABILIZATION; BOUNDEDNESS; DISTURBANCE; CRITERION;
D O I
10.1016/j.jfranklin.2017.05.009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of finite-time stability (FTS) for discrete-time systems with interval time-varying delay, nonlinear perturbations and parameter uncertainties is considered in this paper. In order to obtain less conservative stability criteria, a finite sum inequality with delayed states is proposed. Some sufficient conditions of FTS are derived in the form of the linear matrix inequalities (LMIs) by using Lyapunov-Krasovskii-like functional (LKLF) with power function and single/double summation terms. More precisely estimations of the upper bound of the initial value of LKLF and the lower bound of LKLF are proposed. As special cases, the FTS of nominal discrete-time systems with constant or time varying delay is considered. The numerical examples are presented to illustrate the effectiveness of the results and their improvement over the existing literature. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:4549 / 4572
页数:24
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