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Achievable Casimirs and its implications on control of port-Hamiltonian systems
Authors:R Pasumarthy  A J van der Schaft
Affiliation:1. Department of Applied Mathematics , University of Twente , P.O. Box 217, 7500 AE, Enschede, The Netherlands R.Pasumarthy@math.utwente.nl;3. Mathematics Institute, University of Groningen , P.O. Box 800, 9700 AV, Groningen, The Netherlands
Abstract:In this paper we extend results on interconnections of port-Hamiltonian systems to infinite-dimensional port-Hamiltonian systems and to mixed finite and infinite dimensional port-Hamiltonian systems. The problem of achievable Dirac structures is now studied for systems with dissipation, in the finite-dimensional, infinite-dimensional and the mixed finite and infinite-dimensional case. We also characterize the set of achievable Casimirs and study its application for the control of port-Hamiltonian systems.
Keywords:
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