Abstract
The problem of group pursuit, in which the pursuers need to achieve their goals at the same time, is considered. The proposed pursuit model is based on the fact that the pursuer tries to follow the predicted trajectory. The predicted trajectory of movement is built at each moment of time. Such a trajectory is a composite curve subject to curvature constraints. The time to reach the goal of each pursuer depends on the speed of movement and the minimum radius of curvature of the trajectory. A multivariate analysis of the velocity modules and the minimum radii of curvature of the trajectories of each of the pursuers was carried out to simultaneously achieve their goals.
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