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

doi:10.3182/20020721-6-ES-1901.00558

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 proceeding › Conference contribution › Academic › peer-review

6 Citations (Scopus)

6 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 di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

Original language	English
Title of host publication	Proceedings of the 15th World Congress of the International Federation of Automatic Control
Subtitle of host publication	Barcelona, Spain, 21-26th July 2002
Editors	Eduardo F. Camacho, Luis Basanez, Juan A. de la Puente
Place of Publication	Amsterdam
Publisher	Elsevier
Pages	1218-1223
Number of pages	6
ISBN (Print)	978-0-08-044295-2
DOIs	https://doi.org/10.3182/20020721-6-ES-1901.00558
Publication status	Published - 2002
Event	15th IFAC World Congress 2002 - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 Conference number: 15 http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Publication series

Name	IFAC Proceedings Volumes
Publisher	Elsevier
Number	1
Volume	35

Conference

Conference	15th IFAC World Congress 2002
Country/Territory	Spain
City	Barcelona
Period	21/07/02 → 26/07/02
Internet address	http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Keywords

EWI-16730
METIS-211006
IR-69132

Access to Document

10.3182/20020721-6-ES-1901.00558

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). Elsevier. https://doi.org/10.3182/20020721-6-ES-1901.00558

Heemels, W.P.M.H. ; Camlıbel, M.K. ; van der Schaft, A.J. et al. / 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).

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author = "W.P.M.H. Heemels and M.K. Camlıbel and {van der Schaft}, A.J. and J.M. Schumacher",

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booktitle = "Proceedings of the 15th World Congress of the International Federation of Automatic Control",

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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. et al.
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 proceeding › Conference contribution › Academic › peer-review

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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). doi: 10.3182/20020721-6-ES-1901.00558

Well-posedness of the complementarity class of hybrid systems

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