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arXiv · 2208.05802

Stability Analysis of a Class of Discontinuous Discrete-Time Systems

Francesco Ferrante·Giorgio Valmorbida
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Abstract

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. 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.

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Francesco Ferrante, Giorgio Valmorbida. 2022-08-11. Stability Analysis of a Class of Discontinuous Discrete-Time Systems. https://doi.org/10.1109/lcsys.2022.3183937

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