Canonical realizations by factorization of constant matrices

Paolo Rapisarda; Arjan van der Schaft

doi:10.1016/j.sysconle.2012.05.004

Canonical realizations by factorization of constant matrices

Paolo Rapisarda^*
, Arjan van der Schaft

^*Corresponding author for this work

Systems, Control and Applied Analysis

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

In van der Schaff 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. (C) 2012 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	827-833
Number of pages	7
Journal	Systems & Control Letters
Volume	61
Issue number	8
DOIs	https://doi.org/10.1016/j.sysconle.2012.05.004
Publication status	Published - Aug-2012

Keywords

State maps
Bilinear differential forms
Canonical realization
STATE MAPS
SYSTEMS

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title = "Canonical realizations by factorization of constant matrices",

abstract = "In van der Schaff 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. (C) 2012 Elsevier B.V. All rights reserved.",

keywords = "State maps, Bilinear differential forms, Canonical realization, STATE MAPS, SYSTEMS",

author = "Paolo Rapisarda and Schaft, \{Arjan van der\}",

note = "Relation: http://www.rug.nl/fmns-research/bernoulli/index Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2012",

month = aug,

doi = "10.1016/j.sysconle.2012.05.004",

language = "English",

volume = "61",

pages = "827--833",

journal = "Systems \& Control Letters",

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T1 - Canonical realizations by factorization of constant matrices

AU - Rapisarda, Paolo

AU - Schaft, Arjan van der

N1 - Relation: http://www.rug.nl/fmns-research/bernoulli/index Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2012/8

Y1 - 2012/8

N2 - In van der Schaff 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. (C) 2012 Elsevier B.V. All rights reserved.

AB - In van der Schaff 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. (C) 2012 Elsevier B.V. All rights reserved.

KW - State maps

KW - Bilinear differential forms

KW - Canonical realization

KW - STATE MAPS

KW - SYSTEMS

U2 - 10.1016/j.sysconle.2012.05.004

DO - 10.1016/j.sysconle.2012.05.004

M3 - Article

SN - 0167-6911

VL - 61

SP - 827

EP - 833

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 8

ER -

Canonical realizations by factorization of constant matrices

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Keywords

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