Compositionality issues in discrete, continuous, and hybrid systems

Arjan van der Schaft, J.M. Schumacher

    Research output: Contribution to journalArticleAcademicpeer-review

    20 Citations (Scopus)

    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 non-triviality 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
    Article number10.1002/rnc.591
    Pages (from-to)417-434
    Number of pages18
    JournalInternational journal of robust and nonlinear control
    Volume11
    Issue number5
    DOIs
    Publication statusPublished - 2001

    Keywords

    • Jump rules
    • EWI-16695
    • METIS-200874
    • IR-69103
    • Modularity
    • Multitime semantics
    • Non-deterministic systems

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