About an optimal control for a "predator-prey" system

We consider the system of Lotka-Volterra differential equations with two control variables and describe an optimal control, which provides a transition to a stationary point in a minimum time. We also found an optimal control for the limit case, on condition that the phase trajectories are located n...

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Збережено в:
Бібліографічні деталі
Дата:2020
Автор: Pashko, S.V.
Формат: Стаття
Мова:Українська
Опубліковано: PROBLEMS IN PROGRAMMING 2020
Теми:
Онлайн доступ:https://pp.isofts.kiev.ua/index.php/ojs1/article/view/420
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Назва журналу:Problems in programming
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Problems in programming
Опис
Резюме:We consider the system of Lotka-Volterra differential equations with two control variables and describe an optimal control, which provides a transition to a stationary point in a minimum time. We also found an optimal control for the limit case, on condition that the phase trajectories are located near a stationary point. Optimal trajectories of motion in the phase space are constructed; they look like spirals.Problems in programming 2020; 2-3: 287-294