Well-posedness of the complementarity class of hybrid systems

W.P.M.H. Heemels, M.K. Camlıbel, A.J. van der Schaft, J.M. Schumacher

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.
Original languageEnglish
Title of host publicationProceedings of the 15th World Congress of the International Federation of Automatic Control
Subtitle of host publicationBarcelona, Spain, 21-26th July 2002
EditorsEduardo F. Camacho, Luis Basanez, Juan A. de la Puente
Place of PublicationAmsterdam
PublisherElsevier
Pages1218-1223
Number of pages6
ISBN (Print)978-0-08-044295-2
DOIs
Publication statusPublished - 2002
Event15th IFAC World Congress 2002 - Barcelona, Spain
Duration: 21 Jul 200226 Jul 2002
Conference number: 15
http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Publication series

NameIFAC Proceedings Volumes
PublisherElsevier
Number1
Volume35

Conference

Conference15th IFAC World Congress 2002
CountrySpain
CityBarcelona
Period21/07/0226/07/02
Internet address

Fingerprint

Complementarity
Hybrid Systems
Well-posedness
Linear Complementarity Problem
Mathematical Programming
Interconnection
Existence and Uniqueness
Dynamical system
Trajectory
Interaction
Class

Keywords

  • EWI-16730
  • METIS-211006
  • IR-69132

Cite this

Heemels, W. P. M. H., Camlıbel, M. K., van der Schaft, A. J., & Schumacher, J. M. (2002). Well-posedness of the complementarity class of hybrid systems. In E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002 (pp. 1218-1223). (IFAC Proceedings Volumes; Vol. 35, No. 1). Amsterdam: Elsevier. https://doi.org/10.3182/20020721-6-ES-1901.00558
Heemels, W.P.M.H. ; Camlıbel, M.K. ; van der Schaft, A.J. ; Schumacher, J.M. / Well-posedness of the complementarity class of hybrid systems. Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. editor / Eduardo F. Camacho ; Luis Basanez ; Juan A. de la Puente. Amsterdam : Elsevier, 2002. pp. 1218-1223 (IFAC Proceedings Volumes; 1).
@inproceedings{74acbfa9d4644453b2ac3b279c490283,
title = "Well-posedness of the complementarity class of hybrid systems",
abstract = "One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.",
keywords = "EWI-16730, METIS-211006, IR-69132",
author = "W.P.M.H. Heemels and M.K. Camlıbel and {van der Schaft}, A.J. and J.M. Schumacher",
year = "2002",
doi = "10.3182/20020721-6-ES-1901.00558",
language = "English",
isbn = "978-0-08-044295-2",
series = "IFAC Proceedings Volumes",
publisher = "Elsevier",
number = "1",
pages = "1218--1223",
editor = "Camacho, {Eduardo F.} and Luis Basanez and {de la Puente}, {Juan A.}",
booktitle = "Proceedings of the 15th World Congress of the International Federation of Automatic Control",

}

Heemels, WPMH, Camlıbel, MK, van der Schaft, AJ & Schumacher, JM 2002, Well-posedness of the complementarity class of hybrid systems. in EF Camacho, L Basanez & JA de la Puente (eds), Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. IFAC Proceedings Volumes, no. 1, vol. 35, Elsevier, Amsterdam, pp. 1218-1223, 15th IFAC World Congress 2002, Barcelona, Spain, 21/07/02. https://doi.org/10.3182/20020721-6-ES-1901.00558

Well-posedness of the complementarity class of hybrid systems. / Heemels, W.P.M.H.; Camlıbel, M.K.; van der Schaft, A.J.; Schumacher, J.M.

Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. ed. / Eduardo F. Camacho; Luis Basanez; Juan A. de la Puente. Amsterdam : Elsevier, 2002. p. 1218-1223 (IFAC Proceedings Volumes; Vol. 35, No. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Well-posedness of the complementarity class of hybrid systems

AU - Heemels, W.P.M.H.

AU - Camlıbel, M.K.

AU - van der Schaft, A.J.

AU - Schumacher, J.M.

PY - 2002

Y1 - 2002

N2 - One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

AB - One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

KW - EWI-16730

KW - METIS-211006

KW - IR-69132

U2 - 10.3182/20020721-6-ES-1901.00558

DO - 10.3182/20020721-6-ES-1901.00558

M3 - Conference contribution

SN - 978-0-08-044295-2

T3 - IFAC Proceedings Volumes

SP - 1218

EP - 1223

BT - Proceedings of the 15th World Congress of the International Federation of Automatic Control

A2 - Camacho, Eduardo F.

A2 - Basanez, Luis

A2 - de la Puente, Juan A.

PB - Elsevier

CY - Amsterdam

ER -

Heemels WPMH, Camlıbel MK, van der Schaft AJ, Schumacher JM. Well-posedness of the complementarity class of hybrid systems. In Camacho EF, Basanez L, de la Puente JA, editors, Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. Amsterdam: Elsevier. 2002. p. 1218-1223. (IFAC Proceedings Volumes; 1). https://doi.org/10.3182/20020721-6-ES-1901.00558