On Stabilization of Energy of a Conservative System Perturbed by a Random Process of “White-Noise” Type in the Itô Form

• Дата: 2001
• Автори: Bernatskaya, J. N., Kulinich, G. L., Бернацька, Ю. Н., Кулініч, Г. Л.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4362
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the problem of deterministic control over the behavior of the total energy of the simplest conservative nonlinear system with one degree of freedom without friction in the case of random perturbations by a process of the “white-noise” type in the Itô form. These perturbations act unde...