Document Zbl 0606.15005

A canonical form for regular pencils of matrices. (English) Zbl 0606.15005

Syst. Control Lett. 7, 373-376 (1986).

A new canonical form for regular pencils of matrices is constructed. This canonical form is characterized by: (1) the block diagonal structure, (2) the diagonal blocks in general companion form. It is shown that every regular pencil can be reduced to such a form by strict equivalence transformations.

Reviewer: Yueh-er Kuo

Cited in 2 Documents

MSC:

15A22	Matrix pencils
15A21	Canonical forms, reductions, classification

Keywords:

system theory; canonical form; regular pencils of matrices; block diagonal structure; companion form; strict equivalence transformations

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References:

[1]	Chen, C. T., Introduction to Linear System Theory (1970), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York · Zbl 0212.36602
[2]	Gantmacher, F. R., (The Theory of Matrices, Vol. 2 (1960), Chelsea: Chelsea New York) · Zbl 0085.01001
[3]	Gantmacher, F. R., (The Theory of Matrices, Vol. 1 (1960), Chelsea: Chelsea New York) · Zbl 0085.01001
[4]	Tan, S. H.; Vandewalle, J., Generalized invariant polynomials and generalized companion form, ESAT internal report, K.U. Leuven (1985)

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