A semigroup approach to Port Hamiltonian systems associated with linear skew symmetric operator


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Le Gorrec, Y. and Zwart, H. and Maschke, B. (2004) A semigroup approach to Port Hamiltonian systems associated with linear skew symmetric operator. In: 16th International Symposium on Mathematical Theory of Networks and Systems, 5-9 July 2004, Leuven, Belgium.

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Abstract:In this paper we first define a Dirac structure on a Hilbert spaces associated with a skew-symmetric linear operator including port variables on the boundary of its domain. Secondly, we associate $C_0$-semigroup with some parameterization of the boundary port variables and define a family of boundary control systems. Thirdly we define a linear port controlled Hamiltonian system associated with the previously defined Dirac structure and generated by a symmetric positive operator defining the energy of the system.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/70181
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