DocumentCode :
852803
Title :
On the topology of spaces of controllable and observable systems
Author :
Cobb, J.Daniel
Author_Institution :
University of Wisconsin-Madison, Madison, WI, USA
Volume :
31
Issue :
6
fYear :
1986
fDate :
6/1/1986 12:00:00 AM
Firstpage :
557
Lastpage :
559
Abstract :
Topological properties of classes of state-space systems ( 
are considered, using the natural Euclidean topology. In particular, the connected components of the spaces of controllable, observable, and controllable and observable systems are characterized. Similar results are then easily established for corresponding spaces of rational transfer matrices.
are considered, using the natural Euclidean topology. In particular, the connected components of the spaces of controllable, observable, and controllable and observable systems are characterized. Similar results are then easily established for corresponding spaces of rational transfer matrices.Keywords :
Controllability, linear systems; Observability, linear systems; Topology; Transfer function matrices; Control systems; Controllability; Convergence; Linear systems; Observability; Polynomials; Topology; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104320
Filename :
1104320
Link To Document :
