| Title:
|
SPR0 substitutions and families of algebraic Riccati equations (English) |
| Author:
|
Fernández-Anaya, G. |
| Author:
|
Martínez García, J. C. |
| Author:
|
Kučera, Vladimír |
| Author:
|
Aguilar George, D. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
2006 |
| Pages:
|
605-616 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in $H_{\infty }$-norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated $H_{\infty }$-norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems characterized by both an $H_{\infty }$-norm constraint and an upper bound on their corresponding McMillan degree. (English) |
| Keyword:
|
linear time invariant systems |
| Keyword:
|
positive real substitutions |
| Keyword:
|
properties preservation |
| Keyword:
|
algebraic Riccati equations |
| Keyword:
|
$H_{\infty }$-norm bounded systems |
| MSC:
|
15A24 |
| MSC:
|
93B25 |
| MSC:
|
93B36 |
| idZBL:
|
Zbl 1249.93042 |
| idMR:
|
MR2283508 |
| . |
| Date available:
|
2009-09-24T20:19:09Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135738 |
| . |
| Reference:
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