Controlled invariance for hamiltonian systems

Arjan van der Schaft

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    A notion of controlled invariance is developed which is suited to Hamiltonian control systems. This is done by replacing the controlled invariantdistribution, as used for general nonlinear control systems, by the controlled invariantfunction group. It is shown how Lagrangian or coisotropic controlled invariant function groups can be made invariant by static, respectively dynamic, Hamiltonian feedback. This constitutes a first step in the development of a geometric control theory for Hamiltonian systems that explicitly uses the given structure.
    Original languageEnglish
    Pages (from-to)257-291
    JournalMathematical systems theory
    Issue number1
    Publication statusPublished - 1985


    • IR-85665


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