| Title:
|
On generalized Popov theory for delay systems (English) |
| Author:
|
Niculescu, S. I. |
| Author:
|
Ionescu, V. |
| Author:
|
Ivănescu, D. |
| Author:
|
Dugard, L. |
| Author:
|
Dion, J.-M. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
[2]-20 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper focuses on the Popov generalized theory for a class of some linear systems including discrete and distributed delays. Sufficient conditions for stabilizing such systems as well as for coerciveness of an appropriate quadratic cost are developed. The obtained results are applied for the design of a memoryless state feedback control law which guarantees the (exponential) closed-loop stability with an ${\cal L}_2$ norm bound constraint on disturbance attenuation. Note that the proposed results extend similar ones proposed by some of the authors [inddl:98]. (English) |
| Keyword:
|
Popov generalized theory |
| Keyword:
|
delay system |
| Keyword:
|
memoryless state feedback control |
| MSC:
|
93B36 |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| MSC:
|
93C23 |
| MSC:
|
93D05 |
| MSC:
|
93D10 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1249.93141 |
| idMR:
|
MR1760884 |
| . |
| Date available:
|
2009-09-24T19:30:29Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135330 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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