Мақола

Optimal Pursuit Differential Game Problem for an Infinite System of Binary Differential Equations

Gafurjan IbragimovDepartment of Applied Mathematics, Tashkent State University of Economics, 100066, Tashkent, UzbekistanXolmurodjon Qo’shaqovAkbarjon MuxammadjonovDepartment of Mathematics, Andijan State University, 170100, Andijan, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Аннотация

We study a differential game problem for an infinite system of binary differential equations. The control functions of pursuer and evader are subjected to integral constraints. The pursuer tries to bring the state of the system to the origin of the Hilbert space $$l_{2}$$ and the aim of the evader is opposite. An equation for the optimal pursuit time is obtained and optimal controls of players are constructed. Also, an auxiliary optimal control problem is solved to prove the main result of the paper.

Мавзулар

Aquatic and Environmental Studies Stability and Controllability of Differential Equations Guidance and Control Systems

Идентификаторлар

DOI: 10.1134/s1995080224600821

Иқтибослар ва манбалар

1 та иқтибос 36 та фойдаланилган манба

Кўрсаткичлар — AkademScholar · Тез орада