Stability analysis of equilibria of linear delay complementarity systems

J.J.B. Biemond; Wim Michiels; Nathan van de Wouw

doi:10.1109/LCSYS.2017.2711428

Stability analysis of equilibria of linear delay complementarity systems

J.J.B. Biemond, Wim Michiels, Nathan van de Wouw

Team Bart De Schutter

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	158-163
Journal	IEEE Control Systems Letters
Volume	1
Issue number	1
DOIs	https://doi.org/10.1109/LCSYS.2017.2711428
Publication status	Published - 2017

Keywords

Stability of nonlinear systems
delay systems
LMIs

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10.1109/LCSYS.2017.2711428

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title = "Stability analysis of equilibria of linear delay complementarity systems",

abstract = "We present stability criteria for equilibria of a class of linear complementarity systems, subjected to discrete and distributed delay. We present necessary andsufficient 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 asymptoticstability using Lyapunov–Krasovskii functionals.",

keywords = "Stability of nonlinear systems, delay systems, LMIs",

author = "J.J.B. Biemond and Wim Michiels and {van de Wouw}, Nathan",

year = "2017",

doi = "10.1109/LCSYS.2017.2711428",

language = "English",

volume = "1",

pages = "158--163",

journal = "IEEE Control Systems Letters",

issn = "2475-1456",

publisher = "IEEE",

number = "1",

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TY - JOUR

T1 - Stability analysis of equilibria of linear delay complementarity systems

AU - Biemond, J.J.B.

AU - Michiels, Wim

AU - van de Wouw, Nathan

PY - 2017

Y1 - 2017

N2 - We present stability criteria for equilibria of a class of linear complementarity systems, subjected to discrete and distributed delay. We present necessary andsufficient 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 asymptoticstability using Lyapunov–Krasovskii functionals.

AB - We present stability criteria for equilibria of a class of linear complementarity systems, subjected to discrete and distributed delay. We present necessary andsufficient 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 asymptoticstability using Lyapunov–Krasovskii functionals.

KW - Stability of nonlinear systems

KW - delay systems

KW - LMIs

U2 - 10.1109/LCSYS.2017.2711428

DO - 10.1109/LCSYS.2017.2711428

M3 - Article

SN - 2475-1456

VL - 1

SP - 158

EP - 163

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 1

ER -

Stability analysis of equilibria of linear delay complementarity systems

Abstract

Keywords

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