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
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