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À propos de : A Kernel Representation of Dirac Structures for Infinite-dimensional Systems        

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  • A Kernel Representation of Dirac Structures for Infinite-dimensional Systems
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  • Dirac structures are used as the underlying structure to mathematically formalize port-Hamiltonian systems. This note approaches the Dirac structures for infinite-dimensional systems using the theory of linear relations on Hilbert spaces. First, a kernel representation for a Dirac structure is proposed. The one-to-one correspondence between Dirac structures and unitary operators is revisited. Further, the proposed kernel representation and a scattering representation are constructively related. Several illustrative examples are also presented in the paper.
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  • mmnp201495p295
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  • © EDP Sciences, 2014
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  • EDP Sciences
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