Article

Optimal Pursuit Game of Two Pursuers and One Evader with the Grönwall-Type Constraints on Controls

Gafurjan IbragimovIkrombek YusupovDepartment of Mathematics, Andijan State University, Andijan 170100, UzbekistanМассимилиано ФеррараDepartment of Law, Economics and Human Sciences and Decisions Lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy

Mathematicsjournal2023en

ABI

Abstract

We studied a simple motion differential game of two pursuers and one evader in R2. The control functions of players are subjected to the Grönwall-type constraints. If the state of the evader coincides with the state of a pursuer, then the game is considered complete. The pursuers attempt to complete the game as earlier as possible. The evader attempts to avoid being captured or delays the capture time. We found an equation for the optimal pursuit time and construct the optimal strategies of players.

Topics

Guidance and Control Systems Quantum chaos and dynamical systems Computational Fluid Dynamics and Aerodynamics

Identifiers

DOI: 10.3390/math11020374

Citations and references

Cited by 021 references

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