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
相关论文
共 58 条
  • [1] New results on delay-dependent stability for nonlinear systems with two additive time-varying delays
    Chen, Wenbin
    Gao, Fang
    Liu, Guobao
    [J]. EUROPEAN JOURNAL OF CONTROL, 2021, 58 : 123 - 130
  • [2] Stability analysis for continuous system with additive time-varying delays: A less conservative result
    Dey, Rajeeb
    Ray, G.
    Ghosh, Sandip
    Rakshit, A.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (10) : 3740 - 3745
  • [3] Improved Sufficient LMI Conditions for the Robust Stability of Time-delayed Neutral-type Lur'e Systems
    Duan, Wenyong
    Du, Baozhu
    Li, Yan
    Shen, Cuifeng
    Zhu, Xuelai
    Li, Xiaofan
    Chen, Jian
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (05) : 2343 - 2353
  • [4] Stability and Dissipativity Analysis of Distributed Delay Cellular Neural Networks
    Feng, Zhiguang
    Lam, James
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (06): : 976 - 981
  • [5] A new delay system approach to network-based control
    Gao, Huijun
    Chen, Tongwen
    Lam, James
    [J]. AUTOMATICA, 2008, 44 (01) : 39 - 52
  • [6] New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay Using Delay-Decomposition Approach
    Ge, Chao
    Hua, Changchun
    Guan, Xinping
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (07) : 1378 - 1383
  • [7] Comments and an improved result on "stability analysis for continuous system with additive time-varying delays: A less conservative result"
    Ge, Xiaohua
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 241 : 42 - 46
  • [8] Guo LD., 2019, MATH PROBL ENG, V2019, P1
  • [9] Novel delay-partitioning approaches to stability analysis for uncertain Lur'e systems with time-varying delays
    Guo, Liang-Dong
    Huang, Sheng-Juan
    Wu, Li-Bing
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (07): : 3884 - 3900
  • [10] Absolute stability of Lur'e systems with time-varying delay
    Han, Q.-L.
    Yue, D.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03) : 854 - 859
123456