Topological aspects of controllability and observability on the manifold of singular and regular systems
type: Item
instance of: scholarly article
title: Topological aspects of controllability and observability on the manifold of singular and regular systems
zbMATH Open document ID: 0665.93008
DOI: 10.1016/0022-247X(89)90316-8
author: J. Daniel Cobb
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: Implications of previous results of the author [ibid. 120, 328-353 (1986; Zbl 0611.93011)] on the class of all singular and regular linear time- invariant systems to control theory are examined. It is shown that controllability and observability are generic properties even when singular systems are included. Other subclasses of systems are examined and some are shown to not be generic. Finally, it is shown that the number of connected components of the controllable and observable sets is diminished whenever singular systems are included.
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 4089400
zbMATH Keywords: topological properties
zbMATH Keywords: singular systems
zbMATH Keywords: time-invariant
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4089400