On an optimal control problem
β Scribed by B. Yildiz; G. Yagubov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 473 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this paper, we applied the finite differences method to the solution of variational problem of an inverse problem for the Scr6dinger equation with a final functional. These types of problems arise in various fields in quantum-mechanical, nuclear physics and modern physics [2,11]. Also, we prove two estimates for the differences scheme and convergence speed of difference approximations according to the functional. The inverse problems for the Schrfdinger equation having different variational formulation were investigated in [7,12,13].
π SIMILAR VOLUMES
The existence theorems of the optimal element are proved for a nonlinear control problem with constant delay in phase coordinates and with general functional. Here element implies the collection of delay parameter and initial function, initial moment and vector, control and finally moment.
The aim of this paper is to prove that the approximate solutions of a linear optimal control problem obtained by a Tykhonov regularization are equal to the solutions obtained by relaxing the constraint of the control problem. The second method formulates an approximate optimal control problem and us