A simple state-space design of an interactor for a non-square system via system matrix pencil approach
type: Item
instance of: scholarly article
title: A simple state-space design of an interactor for a non-square system via system matrix pencil approach
zbMATH Open document ID: 1037.93019
DOI: 10.1016/S0024-3795(02)00284-7
author: Xin Xin
author: Tsutomu Mita
published in: Linear Algebra and its Applications
publication date: 2002-08-28T00:00:00Z
review text: The paper is devoted to the construction of an interactor that cancels the infinite zeros of a proper transfer matrix. The algorithm proposed for constructing the interactor, also in the case of a transfer matrix with more rows than columns and full normal rank, is similar to an algorithm proposed by \textit{B. R. Copeland} and \textit{M. G. Safonov} [Int. J. Robust Nonlinear Control 2, No. 2, 139--164 (1992; Zbl 0765.93023)], but new results concerning the structure of the Van Dooren canonical form of the system matrix pencil and the associated transformation matrices are presented. Conditions on the invariance of the stabilizability or controllability between the state-space realizations of the original system, the interactor, and the compensated system are also presented.
reviewed by: A. M. Perdon
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 15A22
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 1790307
zbMATH Keywords: interactor
zbMATH Keywords: system matrix pencil
zbMATH Keywords: infinite eigenstructure
zbMATH Keywords: infinite zeros
zbMATH Keywords: Van Dooren canonical form
zbMATH Keywords: transformation
zbMATH Keywords: invariance
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1790307