On the convergence of linear passive complementarity systems

M. Kanat Camlibel; Nathan van de Wouw

On the convergence of linear passive complementarity systems

M. Kanat Camlibel^*
, Nathan van de Wouw

^*Corresponding author for this work

Systems, Control and Applied Analysis

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

8 Citations (Scopus)

305 Downloads (Pure)

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, VOLS 1-14
Place of Publication	NEW YORK
Publisher	IEEE (The Institute of Electrical and Electronics Engineers)
Pages	4307-4312
Number of pages	6
ISBN (Print)	978-1-4244-1497-0
Publication status	Published - 2007
Event	46th IEEE Conference on Decision and Control - , Lao People's Democratic Republic Duration: 12-Dec-2007 → 14-Dec-2007

Publication series

Name	IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS
Publisher	IEEE
ISSN (Print)	0191-2216

Other

Other	46th IEEE Conference on Decision and Control
Country/Territory	Lao People's Democratic Republic
Period	12/12/2007 → 14/12/2007

Keywords

CONTROLLABILITY
STABILITY
NETWORKS

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2007ProcIEEECDCCamlibel2.pdfFinal publisher's version, 203 KB

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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.",

keywords = "CONTROLLABILITY, STABILITY, NETWORKS",

author = "Camlibel, \{M. Kanat\} and Wouw, \{Nathan van de\}",

note = "Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science; 46th IEEE Conference on Decision and Control ; Conference date: 12-12-2007 Through 14-12-2007",

year = "2007",

language = "English",

isbn = "978-1-4244-1497-0",

series = "IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS",

publisher = "IEEE (The Institute of Electrical and Electronics Engineers)",

pages = "4307--4312",

booktitle = "PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14",

}

Camlibel, MK & Wouw, NVD 2007, On the convergence of linear passive complementarity systems. in PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14. IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, IEEE (The Institute of Electrical and Electronics Engineers), NEW YORK, pp. 4307-4312, 46th IEEE Conference on Decision and Control, Lao People's Democratic Republic, 12/12/2007.

On the convergence of linear passive complementarity systems. / Camlibel, M. Kanat; Wouw, Nathan van de.
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14. NEW YORK: IEEE (The Institute of Electrical and Electronics Engineers), 2007. p. 4307-4312 (IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS).

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

TY - GEN

T1 - On the convergence of linear passive complementarity systems

AU - Camlibel, M. Kanat

AU - Wouw, Nathan van de

N1 - Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2007

Y1 - 2007

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.

KW - CONTROLLABILITY

KW - STABILITY

KW - NETWORKS

M3 - Conference contribution

SN - 978-1-4244-1497-0

T3 - IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS

SP - 4307

EP - 4312

BT - PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14

PB - IEEE (The Institute of Electrical and Electronics Engineers)

CY - NEW YORK

T2 - 46th IEEE Conference on Decision and Control

Y2 - 12 December 2007 through 14 December 2007

ER -

On the convergence of linear passive complementarity systems

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