Stability analysis for point delay fractional description models via linear matrix inequalities

被引：1
作者：
De la Sen, M. [1 ]
机构：
[1] Fac Sci & Technol, Inst Res & Dev Processes, Dept Elect & Elect, Bilbao 48080, Spain
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Dynamic systems; Fractional descriptions; Real-rational nonlinearities; Stability; DIFFERENTIAL-EQUATIONS; ROBUST STABILIZATION; SYSTEMS; OPTIMIZATION; CONTROLLERS;
D O I：
10.1016/j.na.2008.11.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to linear parameter systems under linear fractional representations (LFR) of parameter-dependent nonlinear systems with real-rational nonlinearities and point-delayed dynamics. The robust global asymptotic stability of the system either independent of or dependent on the delay sizes is investigated. The associate matrix inequalities are related to the time-derivatives of appropriate Lyapunov functions at all the vertices of the polytope which contains the parameterized uncertainties. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E309 / E318
页数：10
相关论文
共 50 条
  • [41] Stability analysis of cascade networks via fluid models
    Delgado, Rosario
    Morozov, Evsey
    PERFORMANCE EVALUATION, 2014, 82 : 39 - 54
  • [42] Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial
    Zhang, Xiangmei
    Xu, Anping
    Guo, Xianzhou
    ADVANCES IN MATERIALS PROCESSING X, 2012, 500 : 591 - 595
  • [43] A stability analysis for multi-term fractional delay differential equations with higher order
    Yang, Zhanwen
    Li, Qi
    Yao, Zichen
    CHAOS SOLITONS & FRACTALS, 2023, 167
  • [44] Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity
    Bhalekar, Sachin
    Gupta, Deepa
    CHAOS SOLITONS & FRACTALS, 2022, 162
  • [45] Stability analysis of stochastic fractional-order competitive neural networks with leakage delay
    Ali, M. Syed
    Hymavathi, M.
    Priya, Bandana
    Kauser, Syeda Asma
    Thakur, Ganesh Kumar
    AIMS MATHEMATICS, 2021, 6 (04): : 3205 - 3242
  • [46] Stability analysis for fractional-order neural networks with time-varying delay
    Wang, Feng-Xian
    Zhang, Jie
    Shu, Yan-Jun
    Liu, Xin-Ge
    ASIAN JOURNAL OF CONTROL, 2023, 25 (02) : 1488 - 1498
  • [47] Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay
    He, Bin-Bin
    Zhou, Hua-Cheng
    Kou, Chun-Hai
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (06) : 2420 - 2445
  • [48] Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory
    Rao, Ruofeng
    Zhong, Shouming
    COMPLEXITY, 2017,
  • [49] Stability analysis for neural networks with time-varying delay via improved fractional order auxiliary-polynomial-based functions
    Qi, WeiHang
    Huang, ShengXin
    Yang, Bi
    2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, : 1609 - 1615
  • [50] AN ANALYSIS OF THE STABILITY BOUNDARY FOR A LINEAR FRACTIONAL DIFFERENCE SYSTEM
    Kisela, Tomas
    MATHEMATICA BOHEMICA, 2015, 140 (02): : 195 - 203
12345