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Global reduction to the Kronecker canonical form of a C^r-family of time-invariant linear systems
Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
We present a geometric approach to the study of time-invariant systems, represented by quadruples of matrices (A, B, C, D). Our main goal is, given a differentiable family of such quadruples having constant Kronecker type, the obtention of a differentiable family of nonsingular matrices such that pointwise reduces each quadruple to its Kronecker reduced form. The key point is a geometrical construction of Kronecker reducing bases.
System theory
linear systems
Kronecker
global reduction
Sistemes, Teoria de
Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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