| Title:
|
Continuous-time periodic systems in $H_2$ and $H_\infty$. Part I: Theoretical aspects (English) |
| Author:
|
Colaneri, Patrizio |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
[211]-242 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is divided in two parts. In the first part a deep investigation is made on some system theoretical aspects of periodic systems and control, including the notions of $H_2$ and $H_\infty $ norms, the parametrization of stabilizing controllers, and the existence of periodic solutions to Riccati differential equations and/or inequalities. All these aspects are useful in the second part, where some parametrization and control problems in $H_2$ and $H_\infty $ are introduced and solved. (English) |
| Keyword:
|
periodic system |
| Keyword:
|
Riccati differential equation |
| MSC:
|
34H05 |
| MSC:
|
49N20 |
| MSC:
|
93B36 |
| MSC:
|
93C15 |
| idZBL:
|
Zbl 1249.93097 |
| idMR:
|
MR1760025 |
| . |
| Date available:
|
2009-09-24T19:32:18Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135345 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/135354 |
| . |
| 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:
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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:
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| Reference:
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| Reference:
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| Reference:
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[17] Colaneri P.: Continuous–time periodic systems in $H_2$ and $H_{\infty }$ – Part II: State–feedback problems.Kybernetika 36 (2000), No. 3 (to appear) MR 1773508 |
| . |
