On the convergence of linear passive complementarity systems

M.K. Camlibel; N. Wouw, van de

doi:10.1109/CDC.2007.4434711

On the convergence of linear passive complementarity systems

M.K. Camlibel, N. Wouw, van de

Dynamics and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

7 Citations (Scopus)

Abstract

The notion of convergent systems is a powerful tool both in the analysis and synthesis of nonlinear systems. Sufficient conditions for convergence have been under investigation for smooth systems and for classes of non-smooth switching systems in the literature. In this paper, we look at a very particular class of non- smooth systems, namely complementarity systems. These systems have the capability of capturing the non-smooth dynamics of various interesting applications from different fields of engineering. The main contribution of this paper is to show that a linear complementarity system is convergent if the underlying linear dynamics possesses a certain positive realness property.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control (CDC2007)
Place of Publication	United States, New Orleans
Pages	5886-5891
DOIs	https://doi.org/10.1109/CDC.2007.4434711
Publication status	Published - 2007

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10.1109/CDC.2007.4434711

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title = "On the convergence of linear passive complementarity systems",

abstract = "The notion of convergent systems is a powerful tool both in the analysis and synthesis of nonlinear systems. Sufficient conditions for convergence have been under investigation for smooth systems and for classes of non-smooth switching systems in the literature. In this paper, we look at a very particular class of non- smooth systems, namely complementarity systems. These systems have the capability of capturing the non-smooth dynamics of various interesting applications from different fields of engineering. The main contribution of this paper is to show that a linear complementarity system is convergent if the underlying linear dynamics possesses a certain positive realness property.",

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AU - Wouw, van de, N.

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N2 - The notion of convergent systems is a powerful tool both in the analysis and synthesis of nonlinear systems. Sufficient conditions for convergence have been under investigation for smooth systems and for classes of non-smooth switching systems in the literature. In this paper, we look at a very particular class of non- smooth systems, namely complementarity systems. These systems have the capability of capturing the non-smooth dynamics of various interesting applications from different fields of engineering. The main contribution of this paper is to show that a linear complementarity system is convergent if the underlying linear dynamics possesses a certain positive realness property.

AB - The notion of convergent systems is a powerful tool both in the analysis and synthesis of nonlinear systems. Sufficient conditions for convergence have been under investigation for smooth systems and for classes of non-smooth switching systems in the literature. In this paper, we look at a very particular class of non- smooth systems, namely complementarity systems. These systems have the capability of capturing the non-smooth dynamics of various interesting applications from different fields of engineering. The main contribution of this paper is to show that a linear complementarity system is convergent if the underlying linear dynamics possesses a certain positive realness property.

U2 - 10.1109/CDC.2007.4434711

DO - 10.1109/CDC.2007.4434711

M3 - Conference contribution

SN - 978-1-4244-1497-0

SP - 5886

EP - 5891

BT - Proceedings of the 46th IEEE Conference on Decision and Control (CDC2007)

CY - United States, New Orleans

ER -

On the convergence of linear passive complementarity systems

Abstract

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