Stability analysis of equilibria of linear delay complementarity systems

Journal article (2017)

Authors

Wim Michiels Katholieke Universiteit Leuven
N. van de Wouw Eindhoven University of Technology, University of Minnesota,
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Published Date

2017

Language

English

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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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