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Canonical realizations by factorization of constant matrices

Canonical realizations by factorization of constant matrices
Canonical realizations by factorization of constant matrices
In van der Schaft and Rapisarda (2011) [3] we showed that a state variable for a LTI system can be computed factorizing a two-variable polynomial matrix computed directly from the system equations. Different factorizations of this matrix yield different state maps, and consequently different state equations; based on this fact we present a unifying point of view on some classical canonical forms for linear systems.
state maps, bilinear differential forms, canonical realization
827-833
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Schaft, van der, Arjan
0d954dfb-0c92-42b8-b00d-8fe71b4904b2
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Schaft, van der, Arjan
0d954dfb-0c92-42b8-b00d-8fe71b4904b2

Rapisarda, Paolo and Schaft, van der, Arjan (2012) Canonical realizations by factorization of constant matrices. Systems & Control Letters, 61 (8), 827-833. (doi:10.1016/j.sysconle.2012.05.004).

Record type: Article

Abstract

In van der Schaft and Rapisarda (2011) [3] we showed that a state variable for a LTI system can be computed factorizing a two-variable polynomial matrix computed directly from the system equations. Different factorizations of this matrix yield different state maps, and consequently different state equations; based on this fact we present a unifying point of view on some classical canonical forms for linear systems.

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e-pub ahead of print date: July 2012
Published date: August 2012
Keywords: state maps, bilinear differential forms, canonical realization
Organisations: Southampton Wireless Group
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Identifiers

Local EPrints ID: 340730
URI: http://eprints.soton.ac.uk/id/eprint/340730
DOI: doi:10.1016/j.sysconle.2012.05.004
PURE UUID: 40419e2d-a582-4d8f-bb08-f17e76f77d35

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Date deposited: 02 Jul 2012 11:23
Last modified: 14 Mar 2024 11:29

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Contributors

Author: Paolo Rapisarda
Author: Arjan Schaft, van der

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