Search results for: G.I. Kalogeropoulos
article
Grigoris I. Kalogeropoulos,
Athanasios D. Karageorgos,
Athanasios A. Pantelous,
G.I. Kalogeropoulos,
more
Journal of the Franklin Institute > 2014 > 351 > 3 > 1756-1777
In this paper, the solution of higher order linear homogeneous complex σ–α descriptor matrix differential systems of Apostol–Kolodner type is investigated by considering pairs of complex matrices with symmetric and skew symmetric structural properties. The results are very general, and they derive under congruence of the Thompson canonical form. The regularity (or singularity) of a matrix pencil pre-determines...
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This paper introduces the results of Thompson's canonical form under congruence for pairs of complex matrices with symmetric and skew symmetric structural properties to the solution of higher order linear matrix homogeneous differential systems. Under this approach, the main equation is divided into five sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil...
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This paper is concerned with the solution of linear higher order rectangular differential matrix systems which are appeared in many applications of optimal and filtering control theory. The classical power series method is employed to obtain the analytic solution of linear higher order rectangular (singular) differential matrix equations. In the present paper, the authors provide some preliminary...
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In numerous computational applications in mechanics, in engineering, as well as, in financial issues, the ability of manipulating instantly the state vector from the input is more than significant. Thus, in this paper, we extend a method for the instantly state transferring of linear singular descriptor differential systems, which is based on impulsive distributions. Using linear algebra techniques...
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Last decades, the control and system theory has been beneficed more by the new technological trends. Thus, in numerous (computational) applications, for instant in electronics, in computers, in engineering, as well as, in financial issues, some elements of the control and system theory have been introduced. In this paper, we are interested to change instantly the state of linear matrix differential...
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IET Control Theory & Applications > 2009 > 3 > 7 > 823 - 833
Two main goals are to discretise the solution of an autonomous linear singular continuous-time system and to compare the discretised with the continuous solution at fixed time moments. Practically speaking, we are interested in such kind of systems, since they are inherent in many physical, economical and engineering phenomena. The complex Kronecker canonical form decomposes the singular system into...
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ln this paper we investigate the normalizability of second-order linear descriptor differential system and simultaneously the relocation of its poles. The whole procedure is divided into three main algorithmic steps. Firstly, we normalize the descriptor system. Afterwards, we solve a linear and a multi-linear sub-problem. The proposed method computes a reduced set of quadratic Plucker relations which...
