FIXED POINT METHODS ON THE BASIS OF PROJECTION OPERATIONS IN PROBLEMS OF OPTIMIZATION OF CONTROL FUNCTIONS AND PARAMETERS OF DYNAMICAL SYSTEMS // BSU Bulletin. Mathematics, Informatics. - 2017. №1. . - С. 38-54.

FIXED POINT METHODS ON THE BASIS OF PROJECTION OPERATIONS IN PROBLEMS OF OPTIMIZATION OF CONTROL FUNCTIONS AND PARAMETERS OF DYNAMICAL SYSTEMS

DOI: 10.18101/2304-5728-2017-1-38-54 UDK: 517.977

The article deals with a new approach to optimization of control functions and pa- rameters of nonlinear systems, which is based on solution of special fixed point problems for projection operators in the space of controls. The fixed point problems make it possible to build improving and extreme controls and obtain new conditions for optimal control in a class of optimization problems.

controlled system, fixed point problem, conditions of improvement and optimality.