Hamiltonian and Variational Linear Distributed Systems
Rapisarda, Paolo and Trentelman, Harry L. (2002) Hamiltonian and Variational Linear Distributed Systems. Mathematical and Computer Modeling of Dynamical Systems, 8, (4), 457-473.
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in  that a system described by ordinary linear constant-coefficient differential equations is Hamiltonian if and only if it is variational. In this paper we extend this result to systems described by linear, constant-coefficient partial differential equations. It is shown that any variational system is Hamiltonian, and that any scalar Hamiltonian system is contained (in general, properly) in a particular variational system.
|Keywords:||Linear Hamiltonian systems, linear variational systems, multi-variable polynomial matrices, bilinear- and quadratic differential forms.|
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
|Date Deposited:||30 Mar 2006|
|Last Modified:||16 Aug 2012 03:47|
|Contributors:||Rapisarda, Paolo (Author)
Trentelman, Harry L. (Author)
|Further Information:||Google Scholar|
|ISI Citation Count:||1|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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