Abstract | ||
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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 |
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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. Belur | 1 | 37 | 13.87 |
Shiva Shankar | 2 | 0 | 0.68 |