Stability and passivity analysis of discrete-time linear systems with time-varying delay

被引：22
作者：
Qiu, Sai-Bing [1 ,2 ]
Liu, Xin-Ge [2 ]
Wang, Feng-Xian [2 ]
Chen, Qiao [2 ]
机构：
[1] Hunan Univ Finance & Econ, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2019年 / 134卷
基金：
美国国家科学基金会;
关键词：
Discrete-time linear systems; Passivity; Summation inequality; NEURAL-NETWORKS; ROBUST DISSIPATIVITY; STABILIZATION; INEQUALITY;
D O I：
10.1016/j.sysconle.2019.104543
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper focuses on the stability and passivity analysis for a class of discrete-time linear systems. A novel general free-matrix-based summation inequality is proposed, and two improved stability criteria in terms of linear matrix inequalities (LMIs) are derived by employing the new summation inequality. Furthermore, when an external disturbance appears, a sufficient condition is established to ensure the considered linear system to be passive. Three numerical examples are provided to demonstrate the improvement of the proposed method. (C) 2019 Elsevier B.V. All rights reserved.
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页数：8
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