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

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

Control Systems

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

4 Citations (Scopus)

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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 language	English
Title of host publication	Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain
Editors	E.F. Camacho, L. Basanez
Place of Publication	Oxford
Publisher	Pergamon
ISBN (Print)	0-08-044295-1
Publication status	Published - 2002
Event	15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress) - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 Conference number: 15

Conference

Conference	15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress)
Abbreviated title	IFAC 2002
Country/Territory	Spain
City	Barcelona
Period	21/07/02 → 26/07/02

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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",

note = "15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress), IFAC 2002 ; Conference date: 21-07-2002 Through 26-07-2002",

}

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 (IFAC 2002 World Congress), 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 proceeding › Conference contribution › Academic › peer-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.

N1 - Conference code: 15

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

T2 - 15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress)

Y2 - 21 July 2002 through 26 July 2002

ER -

Well-posedness of the complementarity class of hybrid systems

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