 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ĎĚĚ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| M.A. Korotkii, "The reconstruction of controls by regularization methods with uneven stabilizers," J. Appl. Math. Mech. 73 (1), 26-35 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
1 |
Pages |
26-35 |
| Title |
The reconstruction of controls by regularization methods with uneven stabilizers |
| Author(s) |
M.A. Korotkii (Ekaterinburg, Russia, m_korotkii@list.ru) |
| Abstract |
The problem of reconstructing a previously unknown control (parameter) of a dynamical system using the results of approximate observations of the motion of this system is considered. It is proposed to use static and dynamic methods to solve this problem which, in their implementation, utilize the method of Tikhonov regularization with a stabilizer containing a variation of the simulating subsidiary control (parameter).The use of such a non-differentiable stabilizer enables one to obtain more refined results than the approximation of the required control in Lebesgue spaces. In particular, the piecewise-uniform convergence of the regularized approximations can be successfully substantiated by this route, which opens up the possibility of numerically reconstructing the fine structure of the required control. |
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|
| Received |
20 May 2008 |
| Link to Fulltext |
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