TY - JOUR

T1 - Discretising effectively a linear singular differential system by choosing an appropriate sampling period

AU - Kalogeropoulos, G. I.

AU - Karageorgos, A. D.

AU - Pantelous, A. A.

PY - 2009

Y1 - 2009

N2 - 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 five sub-systems, whose solutions are obtained. Moreover, in order for the norm of the difference between the two solutions to be smaller than a fully pre-defined, acceptable bound, the sampling period should be arranged in a particular interval. A numerical example is also available.

AB - 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 five sub-systems, whose solutions are obtained. Moreover, in order for the norm of the difference between the two solutions to be smaller than a fully pre-defined, acceptable bound, the sampling period should be arranged in a particular interval. A numerical example is also available.

UR - http://www.scopus.com/inward/record.url?scp=67650290539&partnerID=8YFLogxK

U2 - 10.1049/iet-cta.2008.0098

DO - 10.1049/iet-cta.2008.0098

M3 - Article

AN - SCOPUS:67650290539

VL - 3

SP - 823

EP - 833

JO - IET Control Theory & Applications

JF - IET Control Theory & Applications

SN - 1751-8644

IS - 7

ER -