Title
Interpretations of the gap topology: A survey.
Abstract
We explore the interconnections between various ways of introducing the gap topology for linear time-invariant input/output systems. Specifically, we consider: 1. the topology defined by the gaps between the graphs of transfer functions 2. Vidyasagar's graph topology 3. the weakest topology in which the closed loop behavior of the standard feedback interconnection is continuous 4. the topology of uniform convergence of the associated Martin-Hermann mappings from C+ to the Grassmannian manifold Grass(m, m + p) ('pointwise gap') 5. the gap topology defined by the gaps between the associated L2(-infinity, 0)-behaviors. We also compare some different gap topologies.
Year
DOI
Venue
1994
10.1016/B978-0-08-042057-8.50126-9
KYBERNETIKA
Field
DocType
Volume
Weak topology (polar topology),Topology,General topology,Strong topology (polar topology),Initial topology,Product topology,Extension topology,Particular point topology,Lower limit topology,Mathematics
Journal
30
Issue
ISSN
Citations 
2
0023-5954
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jesse de Does1244.81
J. M. Schumacher217433.68