New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties

被引:0
|
作者
Cong Huong Dinh
Viet Thuan Mai
Thi Hong Duong
机构
[1] Ton Duc Thang University,Department for Management of Science and Technology Development
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] Thainguyen University of Sciences,Department of Mathematics and Informatics
关键词
Convex polytopic uncertainty; delayed caputo fractional-order systems; fractional Razumikhin theorem; linear matrix inequality; robust stability; robust stabilization;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the problems of robust stability and stabilization, for the first time, are studied for delayed fractional-order linear systems with convex polytopic uncertainties. The authors derive some sufficient conditions for the problems based on linear matrix inequality technique combined with fractional Razumikhin stability theorem. All the results are obtained in terms of linear matrix inequalities that are numerically tractable. The proposed results are quite general and improve those given in the literature since many factors, such as discrete and distributed delays, convex polytopic uncertainties, global stability and stabilizability, are considered. Numerical examples and simulation results are given to illustrate the effectiveness of the effectiveness of our results.
引用
收藏
页码:563 / 583
页数:20
相关论文
共 50 条
  • [1] New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties
    DINH Cong Huong
    MAI Viet Thuan
    DUONG Thi Hong
    [J]. Journal of Systems Science & Complexity, 2020, 33 (03) : 563 - 583
  • [2] New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties
    Dinh, Cong Huong
    Mai, Viet Thuan
    Duong, Thi Hong
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 33 (03) : 563 - 583
  • [3] Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties
    Lu, Jun-Guo
    Chen, YangQuan
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (01) : 142 - 157
  • [4] Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties
    Jun-Guo Lu
    YangQuan Chen
    [J]. Fractional Calculus and Applied Analysis, 2013, 16 : 142 - 157
  • [5] Novel Robust H∞ Stability and Stabilization Conditions for Fractional-order Systems with Convex Polytopic Uncertainties
    Tang, Hanru
    Lu, Junguo
    Yang, Dong
    [J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 2024 - 2029
  • [6] Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
    Chen, Liping
    Wu, Ranchao
    He, Yigang
    Yin, Lisheng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 274 - 284
  • [7] New Results on Robust Stability and Stabilization of Linear Discrete-Time Stochastic Systems with Convex Polytopic Uncertainties
    Niamsup, P.
    Rajchakit, G.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [8] Robust H∞ Analysis and Control of Fractional-order Systems with Convex Polytopic Uncertainties
    Xie, Fengming
    Lu, Junguo
    Zhao, Yunan
    Miao, Yubin
    [J]. 2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 2802 - 2807
  • [9] Robust Stability Analysis of Fractional-Order Linear Systems with Polytopic Uncertainties
    Yang, Jing
    Hou, Xiaorong
    [J]. PROCEEDINGS OF ICRCA 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS, CONTROL AND AUTOMATION / ICRMV 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS AND MACHINE VISION, 2018, : 47 - 51
  • [10] New results on quadratic stabilization of switched linear systems with polytopic uncertainties
    Ji, Zhijian
    Wang, Long
    Xie, Guangming
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2005, 22 (04) : 441 - 452