A One-Type Control Problem With a Convex Goal in Case of Disturbance
Authors
Viktor Ivanovich Ukhobotov
Chelyabinsk State University
Denis Vasilevich Gushchin
Chelyabinsk State University
Keywords:
differential game, control, alternating integral
Abstract
The authors analyze a one-type problem of positioning of a phase point at a preset time on the convex closed set with minimization of an integral of the convex by standards of control function. There is a disturbance in motion equations; the quantity of its norm is less than the predetermined number. The problem is analyzed within the theory of differential games. The authors prove the existence of an optimal control and give the algorithm of its plotting.
Author Biographies
Viktor Ivanovich Ukhobotov, Chelyabinsk State University
Dr. Sc. (Physics and Mathematics), Professor, Head of the Theory of Control and Optimization Department
Denis Vasilevich Gushchin, Chelyabinsk State University
a mathematician of a university research laboratory of methods of optimization and modeling game situations, Theory of Control and Optimization Department
