Stability Analysis of a Class of Discontinuous Discrete-Time Systems

被引：2
|
作者：
Ferrante, Francesco [1 ]
Valmorbida, Giorgio [2 ,3 ]
机构：
[1] Univ Perugia, Dept Engn, I-06125 Perugia, Italy
[2] Univ Paris Saclay, Lab Signaux & Syst, CNRS, Cent Supelec, F-91192 Gif Sur Yvette, France
[3] Inria Saclay, Projet DISCO, F-91192 Gif Sur Yvette, France
来源：
IEEE CONTROL SYSTEMS LETTERS | 2023年 / 7卷
关键词：
Symbols; Stability analysis; Symmetric matrices; Lyapunov methods; Perturbation methods; Numerical stability; Germanium; Nonlinear systems; Lyapunov stability; LMIs;
D O I：
10.1109/LCSYS.2022.3183937
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 stability analysis of a class of discontinuous discrete-time systems is studied in this letter. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent representation, based on a constrained optimization problem, is proposed to represent the set-valued nonlinearity via a collection of linear and quadratic constraints. Relying on this description and on the use of a generalized quadratic set-valued Lyapunov functions, sufficient conditions in the form of linear matrix inequalities for global exponential stability are obtained. Numerical examples corroborate the theoretical findings.
引用
收藏
页码：454 / 459
页数：6
相关论文
共 50 条
  • [31] On Asymptotic Stability of Discrete-Time Hybrid Systems
    Wang, Qiyao
    Sun, Jitao
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (06) : 2047 - 2051
  • [32] STABILITY TESTS FOR DISCRETE-TIME POLYTOPIC SYSTEMS
    Savov, Svetoslav
    Popchev, Ivan
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2018, 71 (09): : 1230 - 1235
  • [33] On the Stability of Discrete-time Nonlinear Systems with Uncertainties
    Sun, Shengqi
    Fei, Yu-shi
    Dong, Liang
    Li, Lin
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4978 - +
  • [34] A homogeneity property of discrete-time systems: Stability and convergence rates
    Sanchez, Tonametl
    Efimov, Denis
    Polyakov, Andrey
    Moreno, Jaime A.
    Perruquetti, Wilfrid
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (08) : 2406 - 2421
  • [35] On Stability of Switched Discrete-Time Singular Systems
    Raj, Phani
    Pal, Debasattam
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (10) : 7112 - 7119
  • [36] Stability analysis and stabilization of a class of discrete-time nonlinear switched systems with time-delay and affine parametric uncertainty
    Baleghi, N. A.
    Shafiei, M. H.
    JOURNAL OF VIBRATION AND CONTROL, 2019, 25 (07) : 1326 - 1340
  • [37] On Robust Observer Design for a Class of Time-Varying Continuous-Time and Discrete-Time Persidskii Systems
    Khalin, Anatolii
    Efimov, Denis
    Ushirobira, Rosane
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (04) : 2660 - 2667
  • [38] Stability Analysis and Control Design of Discrete-Time Switched Affine Systems
    Deaecto, Grace S.
    Geromel, Jose C.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) : 4058 - 4065
  • [39] Stability analysis of reset positive systems with discrete-time triggering conditions
    Yu, Qiang
    Guo, Yanping
    Zhao, Xudong
    APPLIED MATHEMATICS LETTERS, 2015, 39 : 80 - 84
  • [40] Stability Analysis of Discrete-Time Switched Nonlinear Systems with Delays and Perturbations
    Liu, Xingwen
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2230 - 2235
12345