State maps from bilinear differential forms

Rapisarda, Paolo and van der Schaft, Arjan (2010) State maps from bilinear differential forms. In, MTNS 2010, Budapest, Hungary, 05 - 09 Jul 2010.


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State equations need often to be constructed from a higher-order model of a system, resulting for example from the interconnection of subsystems, or from system identification procedures. In order to compute state equations it is crucial to choose a state variable. One way of doing this is through the computation of a state map. In this paper we develop an alternative approach to the algebraic characterization of state maps, based on the calculus of bilinear differential forms. From this approach stem a new algorithm for the computation of state maps, and some new results regarding symmetries of linear dynamical systems.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: July 5-9, 2010
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 271386
Accepted Date and Publication Date:
6 July 2010Published
Date Deposited: 12 Jul 2010 12:14
Last Modified: 31 Mar 2016 14:18
Further Information:Google Scholar

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