Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form

In this study, the authors analyse some fundamental structural properties of linear time-invariant multivariable systems in the controller canonical form and present a direct method for the computation of bases and associated friends for output-nulling, input-containing and reachability subspaces in...

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Main Authors: Kazantzidou, C., Ntogramatzidis, Lorenzo
Format: Journal Article
Published: The Institution of Engineering and Technology 2017
Online Access:http://hdl.handle.net/20.500.11937/52880
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author Kazantzidou, C.
Ntogramatzidis, Lorenzo
author_facet Kazantzidou, C.
Ntogramatzidis, Lorenzo
author_sort Kazantzidou, C.
building Curtin Institutional Repository
collection Online Access
description In this study, the authors analyse some fundamental structural properties of linear time-invariant multivariable systems in the controller canonical form and present a direct method for the computation of bases and associated friends for output-nulling, input-containing and reachability subspaces in terms of the parameters of the system and the invariant zero structure, both in the non-defective and in the defective case. Using this analysis, it is possible to express the solvability conditions of important control and estimation problems in terms of easily checkable conditions on the system matrices.
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institution Curtin University Malaysia
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last_indexed 2025-11-14T09:53:27Z
publishDate 2017
publisher The Institution of Engineering and Technology
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spelling curtin-20.500.11937-528802017-09-13T15:48:50Z Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form Kazantzidou, C. Ntogramatzidis, Lorenzo In this study, the authors analyse some fundamental structural properties of linear time-invariant multivariable systems in the controller canonical form and present a direct method for the computation of bases and associated friends for output-nulling, input-containing and reachability subspaces in terms of the parameters of the system and the invariant zero structure, both in the non-defective and in the defective case. Using this analysis, it is possible to express the solvability conditions of important control and estimation problems in terms of easily checkable conditions on the system matrices. 2017 Journal Article http://hdl.handle.net/20.500.11937/52880 10.1049/iet-cta.2016.0443 The Institution of Engineering and Technology restricted
spellingShingle Kazantzidou, C.
Ntogramatzidis, Lorenzo
Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title_full Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title_fullStr Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title_full_unstemmed Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title_short Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
title_sort geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
url http://hdl.handle.net/20.500.11937/52880