State maps from bilinear differential forms
State maps from bilinear differential forms
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.
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
van der Schaft, Arjan
d7e3477b-ce6d-4443-98a0-c65360437f03
6 July 2010
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
van der Schaft, Arjan
d7e3477b-ce6d-4443-98a0-c65360437f03
Rapisarda, Paolo and van der Schaft, Arjan
(2010)
State maps from bilinear differential forms.
MTNS 2010, Budapest, Hungary.
05 - 09 Jul 2010.
Record type:
Conference or Workshop Item
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Abstract
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.
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Published date: 6 July 2010
Additional Information:
Event Dates: July 5-9, 2010
Venue - Dates:
MTNS 2010, Budapest, Hungary, 2010-07-05 - 2010-07-09
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 271386
URI: http://eprints.soton.ac.uk/id/eprint/271386
PURE UUID: 84d301fd-631b-47be-a1a5-29bc637ec4a4
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Date deposited: 12 Jul 2010 12:14
Last modified: 14 Mar 2024 09:30
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Contributors
Author:
Paolo Rapisarda
Author:
Arjan van der Schaft
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