Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions

In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more...

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Main Authors: Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos, Kostas G. Arvanitis
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/897301
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author Athanasios A. Pantelous
Athanasios D. Karageorgos
Grigoris I. Kalogeropoulos
Kostas G. Arvanitis
author_facet Athanasios A. Pantelous
Athanasios D. Karageorgos
Grigoris I. Kalogeropoulos
Kostas G. Arvanitis
author_sort Athanasios A. Pantelous
collection DOAJ
description In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions.
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institution Kabale University
issn 1085-3375
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publishDate 2010-01-01
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series Abstract and Applied Analysis
spelling doaj-art-9d53463e446d416c9e13b706d4f1efbd2025-02-03T06:11:21ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/897301897301Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial ConditionsAthanasios A. Pantelous0Athanasios D. Karageorgos1Grigoris I. Kalogeropoulos2Kostas G. Arvanitis3Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL Liverpool, UKDepartment of Mathematics, University of Athens, GR-15784, GreeceDepartment of Mathematics, University of Athens, GR-15784, GreeceDepartment of Natural Resources Management and Agricultural Engineering, Agricultural University of Athens, GR-11855, GreeceIn some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions.http://dx.doi.org/10.1155/2010/897301
spellingShingle Athanasios A. Pantelous
Athanasios D. Karageorgos
Grigoris I. Kalogeropoulos
Kostas G. Arvanitis
Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
Abstract and Applied Analysis
title Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
title_full Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
title_fullStr Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
title_full_unstemmed Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
title_short Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions
title_sort solution properties of linear descriptor singular matrix differential systems of higher order with non consistent initial conditions
url http://dx.doi.org/10.1155/2010/897301
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