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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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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.

Originele taal-2	Engels
Titel	Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain
Redacteuren	E.F. Camacho, L. Basanez
Plaats van productie	Oxford
Uitgeverij	Pergamon
ISBN van geprinte versie	0-08-044295-1
Status	Gepubliceerd - 2002
Evenement	15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress) - Barcelona, Spanje Duur: 21 jul. 2002 → 26 jul. 2002 Congresnummer: 15

Congres

Congres	15th World Congress of the International Federation of Automatic Control (IFAC 2002 World Congress)
Verkorte titel	IFAC 2002
Land/Regio	Spanje
Stad	Barcelona
Periode	21/07/02 → 26/07/02
Ander	IFAC 15th Triennial World Congress, Barcelona, Spain

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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 (redactie), 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, Spanje, 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. et al.

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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › 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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