TY - JOUR AU - A. V. Nikitin AU - U. T. Khimka PY - 2016/08/25 Y2 - 2024/03/28 TI - Asymptotics of normalized control with Markov switchings JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 8 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1904 AB - We study the process of transfer of Markov perturbations and control over this process under the condition of existence ofthe equilibrium point of the quality criterion. For this control, we construct a normalized process and establish itsasymptotic normality in the form of the Ornstein – Uhlenbeck process in the case where the transfer process changes underthe influence of Markov switchings along a new trajectory of evolution from the state in which it was at the time ofswitching. ER -