| Title:
|
State elimination for nonlinear neutral state-space systems (English) |
| Author:
|
Halás, Miroslav |
| Author:
|
Bisták, Pavol |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
473-490 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended further to nonlinear neutral state-space systems, and it is shown that also in such a case an input-output representation, at least locally, always exists. In general, it represents a neutral system again. Computational aspects related to the state elimination problem are discussed as well. (English) |
| Keyword:
|
nonlinear time-delay systems |
| Keyword:
|
neutral systems |
| Keyword:
|
input-output representation |
| Keyword:
|
linear algebraic methods |
| Keyword:
|
Gröbner bases |
| MSC:
|
34K35 |
| MSC:
|
34K40 |
| MSC:
|
93B25 |
| MSC:
|
93C10 |
| idZBL:
|
Zbl 06386422 |
| idMR:
|
MR3275080 |
| DOI:
|
10.14736/kyb-2014-4-0473 |
| . |
| Date available:
|
2014-11-06T14:48:18Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143978 |
| . |
| Reference:
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