Exponential stability analysis of integral delay systems with multiple exponential kernels

被引：10
|
作者：
Li, Zhao-Yan [1 ]
Zheng, Cong [1 ]
Wang, Yong [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 07期
基金：
中国国家自然科学基金;
关键词：
PREDICTOR FEEDBACK; LINEAR-SYSTEMS; NEURAL-NETWORKS; DISTRIBUTED DELAYS; MARKOVIAN JUMP; INPUT DELAYS; TIME; STABILIZATION; PERTURBATIONS; ROBUSTNESS;
D O I：
10.1016/j.jfranklin.2015.12.016
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 studies stability analysis of a class of integral delay systems (IDSs) with multiple exponential kernels. Some coupled linear matrix inequalities based sufficient stability conditions are firstly obtained with the help of the Lyapunov Krasovskii functional approach. The obtained results include several existing ones as special cases if the corresponding IDSs are simplified. Characteristic equations based necessary and sufficient conditions are then established for a special class of IDSs. Three numerical examples show the effectiveness of the proposed approaches. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1639 / 1653
页数：15
相关论文
共 50 条
  • [1] Stability and Robust Stability of Integral Delay Systems With Multiple Exponential Kernels
    Li, Zhao-Yan
    Fang, Ru
    Wang, Yong
    IEEE ACCESS, 2017, 5 : 21650 - 21659
  • [2] Exponential Stability of Integral Delay Systems With a Class of Analytic Kernels
    Mondie, Sabine
    Melchor-Aguilar, Daniel
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (02) : 484 - 489
  • [3] On exponential stability of integral delay systems
    Li, Zhao-Yan
    Zhou, Bin
    Lin, Zongli
    AUTOMATICA, 2013, 49 (11) : 3368 - 3376
  • [4] On Exponential Stability of Integral Delay Systems
    Li, Zhao-Yan
    Zhou, Bin
    Lin, Zongli
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 164 - 169
  • [5] Exponential stability analysis of linear systems with multiple successive delay components
    Lin, Chun-Pi
    Fong, I-Kong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (06) : 1112 - 1125
  • [6] On moment exponential stability of Markovian switching integral delay systems
    Zhang, Qianqian
    Li, Zhao-Yan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (16): : 8534 - 8555
  • [7] On moment exponential stability of Markovian switching integral delay systems
    Zhang, Qianqian
    Li, Zhao-Yan
    Journal of the Franklin Institute, 2021, 358 (16) : 8534 - 8555
  • [8] New results on robust exponential stability of integral delay systems
    Melchor-Aguilar, Daniel
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (08) : 1905 - 1916
  • [9] Mean Square Exponential Stability of Stochastic Stieltjes Integral Delay Systems
    Zhang, Qianqian
    Li, Zhao-Yan
    2023 2ND CONFERENCE ON FULLY ACTUATED SYSTEM THEORY AND APPLICATIONS, CFASTA, 2023, : 18 - 23
  • [10] Exponential stability analysis and stabilization of switched delay systems
    Li, Zhicheng
    Xu, Yinliang
    Fei, Zhongyang
    Agarwal, Ramesh
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (11): : 4980 - 5002
12345