IJPAM: Volume 35, No. 4 (2007)

CONTROLLABILITY SUBSPACES OF SINGULAR SYSTEMS

M $^{\text{\b a}}$ Isabel García-Planas
Departament de Matemàtica Aplicada, I
Universitat Politècnica de Catalunya
C. Minería 1, Esc C, $1^{\mbox{o}}$-$3^{\mbox{a}}$
Barcelona, 08038, SPAIN
e-mail: maria.isabel.garcia@upc.edu


Abstract.In this paper we construct generalized invariant subspaces of controllability for triples of matrices representing singular systems. These subspaces permit us to divide the system in two independent subsystems a controllable system and a non-controllable one.

Received: November 17, 2006

AMS Subject Classification: 15A21, 93B52

Key Words and Phrases: singular systems, feedback, controllability, invariant subspaces

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 4