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 - http://www.scopus.com/inward/record.url?scp=80052887414&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:80052887414

VL - 19

SP - 111

EP - 128

JO - Neural, Parallel and Scientific Computations

JF - Neural, Parallel and Scientific Computations

SN - 1061-5369

IS - 1-2

ER -