| Title:
|
Control of distributed delay systems with uncertainties: a generalized Popov theory approach (English) |
| Author:
|
Ivanescu, Dan |
| Author:
|
Niculescu, Silviu-Iulian |
| Author:
|
Dion, Jean-Michel |
| Author:
|
Dugard, Luc |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
325-343 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for $\gamma $-attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of $H^\infty $ memoryless control problems in terms of Popov triplets and associated objects. The approach is illustrated via numerical examples. Dedicated to Acad. Vlad Ionescu, in memoriam. (English) |
| Keyword:
|
Popov theory |
| Keyword:
|
time-delay system |
| Keyword:
|
uncertainty |
| MSC:
|
93C23 |
| MSC:
|
93C41 |
| MSC:
|
93D10 |
| MSC:
|
93D30 |
| idZBL:
|
Zbl 1265.93197 |
| idMR:
|
MR1859089 |
| . |
| Date available:
|
2009-09-24T19:39:55Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135412 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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