Finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations

被引：52
作者：
Kang, Wei [1 ,2 ]
Zhong, Shouming [2 ]
Shi, Kaibo [3 ]
Cheng, Jun [4 ]
机构：
[1] Fuyang Normal Coll, Sch Informat Engn, Fuyang 236041, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China
[4] Hubei Univ Nationalities, Sch Sci, Enshi 44500, Peoples R China
来源：
ISA TRANSACTIONS | 2016年 / 60卷
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Discrete-time system; Time-varying delay; Nonlinear perturbations; NEURAL-NETWORKS; LINEAR-SYSTEMS; BOUNDEDNESS; CRITERION;
D O I：
10.1016/j.isatra.2015.11.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations is investigated. By constructing a novel Lyapunov-Krasovskii functional and employing a new summation inequality named discrete Wirtinger-based inequality, reciprocally convex approach and zero equality, the improved finite-time stability criteria are derived to guarantee that the state of the system with time-varying delay does not exceed a given threshold when fixed time interval. Furthermore, the obtained conditions are formulated in forms of linear matrix inequalities which can be solved by using some standard numerical packages. Finally, three numerical examples are given to show the effectiveness and less conservatism of the proposed method. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：67 / 73
页数：7
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