Accession Number:

AD0417581

Title:

ON A METHOD OF SUCCESSIVE APPROXIMATIONS FOR THE SOLUTION OF OPTIMAL CONTROL PROBLEMS,

Personal Author(s):

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH

Report Date:

1963-06-30

Abstract:

The determination of optimal control for a process, which is described by a system of ordinary differential equations of the nth order, is reduced to a boundary value problem for a system of equations of the 2nth order. The solution of boundary value problems for complex non-linear systems often encounters significant computational difficulties and re quires a large expenditure of machine time. Theorefore, methods of solving optimal control problems, which permit the circumvention of these difficulties, are presented for considera tion. A method of successive approximations, which is based on the maximal principle, is proposed for the determination of optimal control in problems with an open right limit. Author

Supplementary Note:

Trans. from Zhurnal Vychislitel'noy Matematiki I Matematicheskoy Fiziki, 2:6, pp. 1132-1139, 1962.

Pages:

0015

File Size:

0.00MB

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