| Title:
|
On the equivalence of control systems on Lie groups (English) |
| Author:
|
Biggs, Rory |
| Author:
|
Remsing, Claudiu C. |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
23 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
119-129 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider state space equivalence and feedback equivalence in the context of (full-rank) left-invariant control systems on Lie groups. We prove that two systems are state space equivalent (resp.~detached feedback equivalent) if and only if there exists a Lie group isomorphism relating their parametrization maps (resp. traces). Local analogues of these results, in terms of Lie algebra isomorphisms, are also found. Three illustrative examples are provided. (English) |
| Keyword:
|
left-invariant control system |
| Keyword:
|
state space equivalence |
| Keyword:
|
detached feedback equivalence |
| MSC:
|
22E60 |
| MSC:
|
93B27 |
| idZBL:
|
Zbl 1338.93118 |
| idMR:
|
MR3436680 |
| . |
| Date available:
|
2016-01-19T13:48:41Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144801 |
| . |
| Reference:
|
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| Reference:
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