zbMATH — the first resource for mathematics

Solution of some optimal control problems by the iteration method. (English. Russian original) Zbl 0647.49027
Sov. Math., Dokl. 35, 360-363 (1987); translation from Dokl. Akad. Nauk SSSR 293, 781-785 (1987).
The paper deals with the solution of optimal control problems for parabolic and elliptic distributed parameter systems. Iterative procedures are proposed for solving the corresponding two-point boundary value problems in the cases of complete and point state observations.
Reviewer: N.Christov
49M99 Numerical methods in optimal control
49J20 Existence theories for optimal control problems involving partial differential equations
93C20 Control/observation systems governed by partial differential equations
35B37 PDE in connection with control problems (MSC2000)
65K10 Numerical optimization and variational techniques
93B40 Computational methods in systems theory (MSC2010)