Exponential stability of boundary controlled port Hamiltonian systems with dynamic feedback

Hector Ramirez, Hans Zwart*, Yann Le Gorrec

*Corresponding author for this work

    Research output: Contribution to journalConference articleAcademicpeer-review

    4 Citations (Scopus)
    120 Downloads (Pure)


    In this paper it is shown that an input strictly passive linear finite dimensional port-Hamiltonian controller exponentially stabilizes a large class of boundary control systems. This follows since the finite dimensional controller dissipates the energy flowing through the boundaries of the infinite dimensional system. The assumptions on the controller is that it is input strictly passive and that it is exponentially stable. The result is illustrated on the model of a boundary controlled DNA-manipulation process.

    Original languageEnglish
    Pages (from-to)115-120
    Number of pages6
    JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
    Issue number26
    Publication statusPublished - 1 Jan 2013
    Event1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2013 - Paris, France
    Duration: 25 Sept 201327 Sept 2013
    Conference number: 1


    • Boundary control systems
    • Exponential stability
    • Infinite dimensional port Hamiltonian systems
    • Passivity


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