An alternative collection of structural invariants for matrix pencils under strict equivalence

Díaz, Adolfo; García Planas, María Isabel

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Díaz, Adolfo

García Planas, María Isabel

Document typeArticle

Defense date2009

PublisherWSEAS Press. World Scientific and Engineering Academy and Society

Rights accessRestricted access - publisher's policy

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

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.

CitationDiaz, A.; Garcia-Planas, M.I. An alternative collection of structural invariants for matrix pencils under strict equivalence. "Wseas Transactions on Systems and Control", 2009, vol. 4, núm. 10, p. 487-496.

URIhttp://hdl.handle.net/2117/11080

ISSN1991-8763

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An alternative collection of structural invariants for matrix pencils under strict equivalence

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