Stability analysis of equilibria of linear delay complementarity systems

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

doi:10.1109/LCSYS.2017.2711428

Stability analysis of equilibria of linear delay complementarity systems

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

Dynamics and Control

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

6 Citations (Scopus)

127 Downloads (Pure)

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
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	1
Issue number	1
DOIs	https://doi.org/10.1109/LCSYS.2017.2711428
Publication status	Published - 1 Jul 2017

Funding

Manuscript received March 2, 2017; revised May 22, 2017; accepted May 26, 2017. Date of publication June 2, 2017; date of current version June 14, 2017. This work was supported in part by the Research Foundation Flanders, and in part by the European Union’s Horizon 2020 Research and Innovation Programme through the Marie Sklodowska-Curie (Project UCoCoS) under Grant 675080. Recommended by Senior Editor C. Prieur. (Corresponding author: Wim Michiels.) J. J. B. Biemond is with the Optomechatronics Department, Netherlands Organization for Applied Scientific Research TNO, 2628 CK Delft, The Netherlands (e-mail: [email protected]).

Keywords

Delay systems
LMIs
Stability of nonlinear systems

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10.1109/LCSYS.2017.2711428

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AB - 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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KW - LMIs

KW - Stability of nonlinear systems

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Stability analysis of equilibria of linear delay complementarity systems

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