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An alternative collection of structural invariants for matrix pencils under strict equivalence
Díaz, Adolfo; García Planas, María Isabel
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 consider pairs of matrices (E;A), representing singular linear time invariant sys- tems in the form Ex_ (t) = Ax with E;A 2 Mp£n(C) under restricted equivalence. In this paper we obtain an alternative collection of invariants that they permit us to deduce the Kronecker canonical reduced form. As application we obtain a reduced form form systems under proportional and derivative feedback as well proportional and derivative output injection.
Àrees temàtiques de la UPC::Matemàtiques i estadística
Multilinear algebra
Algebras, Linear
System theory.
Àlgebra lineal
Àlgebra multilineal
Classificació AMS::15 Linear and multilinear algebra; matrix theory
Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
Artículo
WSEAS Press. World Scientific and Engineering Academy and Society
         

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