Application of the method of averaging to the problems of optimal control for ordinary differential equations on the semiaxis
AbstractThe method of averaging is applied to the nonlinear and linear (with respect to control) problems of optimal control on the semiaxis with small parameter and rapidly oscillating coefficients. It is shown that the solutions of the exact problem converge to the solutions of the averaged problem.
How to Cite
Kichmarenko, O. D. “Application of the Method of Averaging to the Problems of Optimal Control for ordinary Differential Equations on the Semiaxis”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 5, May 2018, pp. 642-54, http://umj.imath.kiev.ua/index.php/umj/article/view/1584.