Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems

Athanasios A. Pantelous; Athanasios D. Karageorgos; Vasilis N. Tsoulkas; Grigoris I. Kalogeropoulos

Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems

Athanasios A. Pantelous
, Athanasios D. Karageorgos
, Vasilis N. Tsoulkas
, Grigoris I. Kalogeropoulos

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

Abstract

The aim of this paper is two fold. First, we want to discuss the solution properties of higher order linear descriptor matrix differential systems. Secondly, we want to extend the classical matrix rank criterion for the controllability of first order to higher order linear descriptor matrix differential systems. This criterion has been chosen and studied, since it is a typical property and requirement for many modern control systems while at the same time it emerges in a plethora of different control science applications.

Original language	English
Pages (from-to)	111-128
Number of pages	18
Journal	Neural, Parallel and Scientific Computations
Volume	19
Issue number	1-2
Publication status	Published - Mar 2011
Externally published	Yes

Keywords

Controllability
Linear descriptor matrix systems
Rank criterion

Cite this

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title = "Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems",

abstract = "The aim of this paper is two fold. First, we want to discuss the solution properties of higher order linear descriptor matrix differential systems. Secondly, we want to extend the classical matrix rank criterion for the controllability of first order to higher order linear descriptor matrix differential systems. This criterion has been chosen and studied, since it is a typical property and requirement for many modern control systems while at the same time it emerges in a plethora of different control science applications.",

keywords = "Controllability, Linear descriptor matrix systems, Rank criterion",

author = "Pantelous, \{Athanasios A.\} and Karageorgos, \{Athanasios D.\} and Tsoulkas, \{Vasilis N.\} and Kalogeropoulos, \{Grigoris I.\}",

year = "2011",

month = mar,

language = "English",

volume = "19",

pages = "111--128",

journal = "Neural, Parallel and Scientific Computations",

issn = "1061-5369",

number = "1-2",

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Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems. / Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Tsoulkas, Vasilis N. et al.
In: Neural, Parallel and Scientific Computations, Vol. 19, No. 1-2, 03.2011, p. 111-128.

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

TY - JOUR

T1 - Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems

AU - Pantelous, Athanasios A.

AU - Karageorgos, Athanasios D.

AU - Tsoulkas, Vasilis N.

AU - Kalogeropoulos, Grigoris I.

PY - 2011/3

Y1 - 2011/3

N2 - The aim of this paper is two fold. First, we want to discuss the solution properties of higher order linear descriptor matrix differential systems. Secondly, we want to extend the classical matrix rank criterion for the controllability of first order to higher order linear descriptor matrix differential systems. This criterion has been chosen and studied, since it is a typical property and requirement for many modern control systems while at the same time it emerges in a plethora of different control science applications.

AB - The aim of this paper is two fold. First, we want to discuss the solution properties of higher order linear descriptor matrix differential systems. Secondly, we want to extend the classical matrix rank criterion for the controllability of first order to higher order linear descriptor matrix differential systems. This criterion has been chosen and studied, since it is a typical property and requirement for many modern control systems while at the same time it emerges in a plethora of different control science applications.

KW - Controllability

KW - Linear descriptor matrix systems

KW - Rank criterion

UR - https://www.scopus.com/pages/publications/80052887414

M3 - Article

AN - SCOPUS:80052887414

SN - 1061-5369

VL - 19

SP - 111

EP - 128

JO - Neural, Parallel and Scientific Computations

JF - Neural, Parallel and Scientific Computations

IS - 1-2

ER -

Solutions properties and the extension of classical rank controllability criterion for higher order linear descriptor matrix differential systems

Abstract

Keywords

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Cite this