Dissipativity analysis for Lur'e systems with two additive time-varying delays via some novel Lyapunov-Krasovskii functionals

被引：3
作者：
Ban, Jie [1 ]
Guo, Liang-Dong [1 ,2 ]
机构：
[1] Univ Sci & Technol Liaoning, Sch Sci, Anshan, Peoples R China
[2] Univ Sci & Technol Liaoning, Sch Sci, 185 Qian Shan Middle Rd, Anshan 114051, Liaoning, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2023年 / 33卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Lur'e system; ATD; DDI; dissipativity; LMI; DEPENDENT STABILITY-CRITERIA; MASTER-SLAVE SYNCHRONIZATION; NEURAL-NETWORKS; ABSOLUTE STABILITY; LINEAR-SYSTEMS; MATRIX; INEQUALITY;
D O I：
10.1002/rnc.6666
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 dissipativity analysis is discussed for Lur'e systems with two additive time-varying delays (ATDs) in this paper. Based on the dynamic delay interval (DDI) method, some novel Lyapunov-Krasovskii functionals (LKFs) are constructed, in which part of Lyapunov matrices are requested to be positive definite. Then strictly dissipativity criteria of Lur'e systems with ATDs are presented in terms of linear matrix inequalities (LMIs). As by-products, the stability criteria of Lur'e systems with ATDs and the systems with ATDs are derived. Finally, several numerical examples are used to illustrate the effectiveness and superiority of these criteria.
引用
收藏
页码：5691 / 5709
页数：19
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