Stability analysis of equilibria of linear delay complementarity systems

Journal Article (2017)
Author(s)

J.J.B. Biemond (TNO)

W. Michiels (Katholieke Universiteit Leuven)

N. de Wouw (TU Delft - Team Bart De Schutter, University of Minnesota, Eindhoven University of Technology)

Research Group
Team Bart De Schutter
DOI related publication
https://doi.org/10.1109/LCSYS.2017.2711428
More Info
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Publication Year
2017
Language
English
Research Group
Team Bart De Schutter
Issue number
1
Volume number
1
Pages (from-to)
158-163

Abstract

We present stability criteria for equilibria of a class of linear complementarity systems, subjected to discrete and distributed delay. We present necessary and
sufficient conditions for local exponential stability, inferred from the spectrum location of a corresponding system of delay differential algebraic equations. Subsequently, we obtain sufficient LMI-based conditions for global asymptotic
stability using Lyapunov–Krasovskii functionals.

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