Symmetries and conservation laws for Hamiltonian Systems with inputs and outputs: A generalization of Noether's theorem

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    Abstract

    The definitions of symmetries and conservation laws for autonomous (i.e. without external forces) Hamiltonian systems are generalized to Hamiltonian systems with inputs and outputs. It is shown that a symmetry implies the existence of a conservation law and vice versa; thereby generalizing Noether's theorem for autonomous Hamiltonian systems.
    Original languageEnglish
    Number of pages8
    JournalSystems & Control Letters
    Volume1
    Issue number2
    Publication statusPublished - 1981

    Keywords

    • Symplectic geometry
    • Hamiltonian systems
    • Symmetries
    • Nonlinear input-output systems

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