Article ID Journal Published Year Pages File Type
791549 Journal of Applied Mathematics and Mechanics 2009 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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