Compositionality issues in discrete, continuous and hybrid systems

Arjan van der Schaft, J.M. Schumacher

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    Abstract

    Models of complex dynamical systems are often built by connecting submodels of smaller parts. The key to this method is the operation of ``interconnection'' or ``composition'' which serves to define the whole in terms of its parts. In the setting of smooth differential equations the composition operation has often been regarded as trivial, but a quite different attitude is found in the discrete domain where several definitions of composition have been proposed and different semantics have been developed. The nontriviality of composition carries over from discrete systems to hybrid systems. The paper discusses the compositionality issue in the context of discrete, continuous, and hybrid systems, mainly on the basis of a number of examples.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2000

    Publication series

    NameMemorandum / Department of Mathematics
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1549
    ISSN (Print)0169-2690

    Keywords

    • MSC-93A10
    • IR-65736
    • EWI-3369
    • MSC-93A30

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