| Title:
|
Null controllability of a nonlinear diffusion system in reactor dynamics (English) |
| Author:
|
Sakthivel, Kumarasamy |
| Author:
|
Balachandran, Krishnan |
| Author:
|
Park, Jong-Yeoul |
| Author:
|
Devipriya, Ganeshan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
2010 |
| Pages:
|
890-906 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of $\mathbb R$ with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with appropriate assumptions on the coefficients. Then this result is successfully used with some estimates for parabolic equation in $L^k$ spaces together with classical fixed point theorem, to prove the null controllability of the nonlinear model. (English) |
| Keyword:
|
controllability |
| Keyword:
|
observability |
| Keyword:
|
parabolic integrodifferential equation |
| MSC:
|
93B05 |
| MSC:
|
93B07 |
| idZBL:
|
Zbl 1205.93024 |
| idMR:
|
MR2778922 |
| . |
| Date available:
|
2010-12-20T15:54:54Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141398 |
| . |
| Reference:
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