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.
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Description/Abstract
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] 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.
| Item Type: | Article |
|---|---|
| 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 |
| Item ID: | 262215 |
| Date Deposited: | 30 Mar 2006 |
| Last Modified: | 16 Aug 2012 03:47 |
| Contributors: | Rapisarda, Paolo (Author) Trentelman, Harry L. (Author) |
| Date: | December 2002 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 1 |
| URI: | http://eprints.soton.ac.uk/id/eprint/262215 |
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