Differential Games for an Infinite 2-Systems of Differential Equations
Muminjon TukhtasinovNational University of Uzbekistan, University Street, Al-Mazar District, Tashkent 1000174, UzbekistanGafurjan IbragimovDepartment of Mathematics, Faculty of Science, University Putra Malaysia, Serdang 43400, MalaysiaSarvinoz KuchkarovaNational University of Uzbekistan, University Street, Al-Mazar District, Tashkent 1000174, UzbekistanRisman Mat HasimDepartment of Mathematics, Faculty of Science, University Putra Malaysia, Serdang 43400, Malaysia
ABI
Аннотация
A pursuit differential game described by an infinite system of 2-systems is studied in Hilbert space l2. Geometric constraints are imposed on control parameters of pursuer and evader. The purpose of pursuer is to bring the state of the system to the origin of the Hilbert space l2 and the evader tries to prevent this. Differential game is completed if the state of the system reaches the origin of l2. The problem is to find a guaranteed pursuit and evasion times. We give an equation for the guaranteed pursuit time and propose an explicit strategy for the pursuer. Additionally, a guaranteed evasion time is found.
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Показатели — AkademScholar · Скоро