An alternative complete system of invariants for matrix pencils under strict equivalence
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Document typePart of book or chapter of book
Defense date2009-12
PublisherWSEAS Press. World Scientific and Engineering Academy and Society
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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.
ISBN978-960-474-138-0
Publisher versionhttp://www.wseas.us/books/2009/tenerife/MATH.pdf
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