An alternative complete system of invariants for matrix pencils under strict equivalence

García Planas, María Isabel; Díaz, Adolfo

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García Planas, María Isabel

Díaz, Adolfo

Document typePart of book or chapter of book

Defense date2009-12

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 triples of matrices (E; A;B), representing singular linear time invariant systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un- der proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems.

CitationGarcia-Planas, M.I.; Diaz, A. An alternative complete system of invariants for matrix pencils under strict equivalence. A: "Recent advances in applied mathematics". WSEAS Press. World Scientific and Engineering Academy and Society, 2009, p. 64-70.

URIhttp://hdl.handle.net/2117/11079

ISBN978-960-474-138-0

Publisher versionhttp://www.wseas.us/books/2009/tenerife/MATH.pdf

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An alternative complete system of invariants for matrix pencils under strict equivalence

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