Generic Zero Locations and Orders of Invertible Structured Linear Systems

In this paper structured linear systems are considered, which represent a large class of parameter dependent linear systems. In particular, structured linear systems are studied that are square and invertible. A complete characterization for the generic zero locations and orders of such systems is d...

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Bibliographic Details
Published inIFAC Proceedings Volumes Vol. 34; no. 13; pp. 65 - 70
Main Authors van der Woude, J.W., Commault, C., Dion, J.M.
Format Journal Article
LanguageEnglish
Published 01.08.2001
Subjects
directed graphs
indices
linear systems
structural properties
zeros
structural properties
indices
linear systems
directed graphs
zeros
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Summary:In this paper structured linear systems are considered, which represent a large class of parameter dependent linear systems. In particular, structured linear systems are studied that are square and invertible. A complete characterization for the generic zero locations and orders of such systems is derived, consisting of the number of the zeros at s = 0 and s = ∞, respectively, with their orders, and of the number of zeros located elsewhere, which are shown to be simple.
ISSN:1474-6670
DOI:10.1016/S1474-6670(17)38967-X