Linear Hamiltonian behaviors and bilinear differential forms
Rapisarda, Paolo and Trentelman, Harry L. (2004) Linear Hamiltonian behaviors and bilinear differential forms. SIAM Journal on Control and Optimization, 43, (3), 769-791.
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.
|Keywords:||Linear Hamiltonian systems, two-variable polynomial matrices, bilinear and quadratic differential forms, behavioral system theory|
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
|Date Deposited:||29 Mar 2006|
|Last Modified:||18 Aug 2012 04:03|
|Contributors:||Rapisarda, Paolo (Author)
Trentelman, Harry L. (Author)
|Further Information:||Google Scholar|
|ISI Citation Count:||3|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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