Well-posedness of the complementarity class of hybrid systems

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

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

1 Citation (Scopus)
41 Downloads (Pure)

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 differential equations and a specific 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 Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain
EditorsE.F. Camacho, L. Basanez
Place of PublicationOxford
PublisherPergamon
ISBN (Print)0-08-044295-1
Publication statusPublished - 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: 21 Jul 200226 Jul 2002
Conference number: 15

Conference

Conference15th World Congress of the International Federation of Automatic Control, 2002
Abbreviated titleIFAC 2002
CountrySpain
CityBarcelona
Period21/07/0226/07/02

Fingerprint

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

Cite this

Heemels, W. P. M. H., Camlibel, M. K., Schaft, van der, A. J., & Schumacher, J. M. (2002). Well-posedness of the complementarity class of hybrid systems. In E. F. Camacho, & L. Basanez (Eds.), Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain Oxford: Pergamon.
Heemels, W.P.M.H. ; Camlibel, M.K. ; Schaft, van der, A.J. ; Schumacher, J.M. / Well-posedness of the complementarity class of hybrid systems. Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain. editor / E.F. Camacho ; L. Basanez. Oxford : Pergamon, 2002.
@inproceedings{46c1723347254019b2abac20f93937d3,
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 differential equations and a specific combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.",
author = "W.P.M.H. Heemels and M.K. Camlibel and {Schaft, van der}, A.J. and J.M. Schumacher",
year = "2002",
language = "English",
isbn = "0-08-044295-1",
editor = "E.F. Camacho and { Basanez}, L.",
booktitle = "Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain",
publisher = "Pergamon",

}

Heemels, WPMH, Camlibel, MK, Schaft, van der, AJ & Schumacher, JM 2002, Well-posedness of the complementarity class of hybrid systems. in EF Camacho & L Basanez (eds), Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain. Pergamon, Oxford, 15th World Congress of the International Federation of Automatic Control, 2002, Barcelona, Spain, 21/07/02.

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

Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain. ed. / E.F. Camacho; L. Basanez. Oxford : Pergamon, 2002.

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 - Camlibel, M.K.

AU - Schaft, van der, 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 differential equations and a specific 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 differential equations and a specific combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

M3 - Conference contribution

SN - 0-08-044295-1

BT - Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain

A2 - Camacho, E.F.

A2 - Basanez, L.

PB - Pergamon

CY - Oxford

ER -

Heemels WPMH, Camlibel MK, Schaft, van der AJ, Schumacher JM. Well-posedness of the complementarity class of hybrid systems. In Camacho EF, Basanez L, editors, Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain. Oxford: Pergamon. 2002