Stability analysis of equilibria of linear delay complementarity systems
J.J.B. Biemond (TNO)
Wim Michiels (Katholieke Universiteit Leuven)
Nathan van de Wouw (TU Delft - Team Bart De Schutter, University of Minnesota, Eindhoven University of Technology)
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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.