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The structure of the singularities of holomorphic matrices

Published online by Cambridge University Press:  14 November 2011

L. Pandolfi
L. Pandolfi
Affiliation:
Politecnico di Torino, Dipartimento di Matematica, C. so Duca degli Abruzzi 24, 10129-Turin, Italy
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Synopsis

In this paper we consider a holomorphic matrix H(z) over a possibly unbounded region Ω and we study its properties in the neighbourhoods of a boundary point z0 of Ω (it may be z0 = ∞ if Ω is unbounded and z0 may not be an isolated singularity). Applications to systems theory and, in particular, to the theory of delay systems are presented. In this case the properties of completability, small solutions observability and zeros at z0 = ∞ are investigated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 1 - 14
Copyright
Copyright © Royal Society of Edinburgh 1987

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