| Title:
|
Stabilization of fractional exponential systems including delays (English) |
| Author:
|
Bonnet, Catherine |
| Author:
|
Partington, Jonathan R. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
[345]-353 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper analyzes the BIBO stability of fractional exponential delay systems which are of retarded or neutral type. Conditions ensuring stability are given first. As is the case for the classical class of delay systems these conditions can be expressed in terms of the location of the poles of the system. Then, in view of constructing robust BIBO stabilizing controllers, explicit expressions of coprime and Bézout factors of these systems are determined. Moreover, nuclearity is analyzed in a particular case. (English) |
| Keyword:
|
delay system |
| Keyword:
|
BIBO stability |
| MSC:
|
34A08 |
| MSC:
|
34K40 |
| MSC:
|
93C23 |
| MSC:
|
93D15 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1265.93211 |
| idMR:
|
MR1859090 |
| . |
| Date available:
|
2009-09-24T19:40:02Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135413 |
| . |
| Reference:
|
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| Reference:
|
[2] Bonnet C., Partington J. R.: Analysis of fractional delay systems of retarded and neutral type.Preprint 2000 Zbl 1007.93065, MR 2133473 |
| Reference:
|
[3] Bonnet C., Partington J. R.: Coprime factorizations and stability of fractional differential systems.Systems Control Lett. 41 (2000), 167–174 Zbl 0985.93048, MR 1831424, 10.1016/S0167-6911(00)00050-5 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[9] Loiseau J.-J., Mounier H.: Stabilisation de l’équation de la chaleur commandée en flux.Systèmes Différentiels Fractionnaires, Modèles, Méthodes et Applications. ESAIM Proceedings 5 (1998), 131–144 Zbl 0913.73052, MR 1665567 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
