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

S.V. Pashko


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


optimal control; minimum time; stationary point


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DOI: https://doi.org/10.15407/pp2020.02-03.287


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