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

页码：454 / 459

页数：6

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