Control reconstruction in hyperbolic systems / Korotkii A. I.,Gribanova E. I. // AUTOMATION AND REMOTE CONTROL. - 2012. - V. 73, l. 3. - P. 472-484.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

We consider an inverse dynamics problem which is to reconstruct a priori unknown distributed controls in a hyperbolic system given the results of approximate observations of the movements of this system. To solve this ill-posed problem, we propose to use the Tikhonov's method with a regularizer containing the sum of mean squared norm and the total variation over the time of an admissible control. Using such a regularizer lets one get, in a number of cases, better results than just approximating the control in question in Lebesgue spaces. In particular, along these lines we can establish pointwise and piecewise uniform convergence for regularized approximations, which opens up new opportunities for numerical reconstruction of the fine structure of the control. We give numerical modeling results.

Author keywords:

нет данных

DOI:

10.1134/S000511791203006X

Web of Science ID:

ISI:000301791500006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Funding-Acknowledgement	Presidium of the Ural Branch of the Russian Academy of Sciences {[}09-P-1-1006]; Russian Foundation for Basic Research {[}11-01-00073]
Funding-Text	This work was supported by the Program of the Presidium of the Ural Branch of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics,{''} project no. 09-P-1-1006, and the Russian Foundation for Basic Research, project no. 11-01-00073.
Number-of-Cited-References	32
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	15
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	912IU