Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach
type: Item
instance of: scholarly article
title: Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach
zbMATH Open document ID: 0689.93016
DOI: 10.1007/BF01598421
author: Grigoris I. Kalogeropoulos
author: Nicos Karcanias
published in: Circuits, Systems, and Signal Processing
publication date: 1989-01-01T00:00:00Z
review text: Generalized linear systems are studied, that are systems of the form \(E\dot x=Ax+Bu\), where E, A and B are matrices. This class of systems is seen as a special subspace of the general differential equations described by \(F\dot x=Gx\). The aim lies on developing the matrix pencil aspects of the theory of these systems. New types of feedback invariants are introduced, and a classification of these systems is given. This classification is algebraic and feedback related.
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 4130248
zbMATH Keywords: Generalized linear systems
zbMATH Keywords: feedback invariants
zbMATH Keywords: time-invariant
reviewed by: Hans Zwart
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01598421
OpenAlex ID: W2071157647
description: scientific article; zbMATH DE number 4130248