학술논문
Stability Analysis of a Class of Discontinuous Discrete-Time Systems
Document Type
Periodical
Author
Source
IEEE Control Systems Letters IEEE Control Syst. Lett. Control Systems Letters, IEEE. 7:454-459 2023
Subject
Language
ISSN
2475-1456
Abstract
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.