The geometry of the uncontrollability set for standardizable second order generalized linear systems on parameters

Authors:
M. Isabel García-Planas;J. Clotet
Affiliations:
Departament de Matemática Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain;Departament de Matemática Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain
Venue:
ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
Year:
2008

Citing 2
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Controllability matrix of second order generalized linear systems

ISTASC'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Systems Theory and Scientific Computation - Volume 7

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Abstract

Let (E, A1, A2, B) be a quadruple of matrices representing a second order generalized time-invariant linear system, Ex = A1x + A2x + Bu. In this paper we study the controllability of second order generalized systems by means the rank of a certain constant matrix that we will call "the controllability matrix" of second order generalized linear systems. We use this matrix to study the geometry of the set of uncontrollable systems contained in the set of standardizable ones.