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

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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 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

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