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- Title
Differential Game for an Infinite System of Two-Block Differential Equations.
- Authors
Ibragimov, Gafurjan; Kuchkarova, Sarvinoz; Hasim, Risman Mat; Pansera, Bruno Antonio
- Abstract
We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l 2 . The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l 2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l 2 , whereas the evader's aim is to prevent this. For the optimal pursuit time, we obtain an equation and construct the optimal strategies for the players.
- Subjects
DIFFERENTIAL games; DIFFERENTIAL equations; HILBERT space
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 14, pN.PAG
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10142541