Title
The persistence of impulse controllability.
Abstract
This paper shows that within the space of all LTI systems, equipped with the Zariski topology, the set of impulse controllable systems contains an open dense set of systems; in other words, impulse controllable systems are generic. This genericity persists for many closed subsets of LTI systems of interest, such as the class of singular descriptor systems.
Year
DOI
Venue
2019
10.1007/s00498-019-00250-x
Mathematics of Control, Signals, and Systems
Keywords
Field
DocType
Impulse controllability, Zariski topology, Robustness, Genericity, 93B05, 93B35, 93B25
Controllability,Control theory,Zariski topology,Impulse (physics),Robustness (computer science),Descriptor systems,Dense set,Mathematics
Journal
Volume
Issue
ISSN
31
4
0932-4194
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Madhu N. Belur13713.87
Shiva Shankar200.68