Hamiltonian and self-adjoint control systems

Arjan van der Schaft, P.E. Crouch

    Research output: Contribution to journalArticleAcademic

    11 Citations (Scopus)
    67 Downloads (Pure)

    Abstract

    This paper outlines results recently obtained in the problem of determining when an input-output map has a Hamiltonian realization. The results are obtained in terms of variations of the system trajectories, as in the solution of the Inverse Problem in Classical Mechanics. The variational and adjoint systems are introduced for any given nonlinear system, and self-adjointness defined. Under appropriate conditions self-adjointness characterizes Hamiltonian systems. A further characterization is given directly in terms of variations in the input and output trajectories, proving an earlier conjecture by the first author.
    Original languageUndefined
    Pages (from-to)289-295
    JournalSystems and control letters
    Volume8
    Issue number4
    DOIs
    Publication statusPublished - 1987

    Keywords

    • IR-69876

    Cite this