A GUARANTEED PURSUIT TIME IN A DIFFERENTIAL GAME IN HILBERT SPACE

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Gafurjan Ibragimov
Usman Waziri
Idham Arif Alias
Zarina Bibi Ibrahim

Abstract

We study a pursuit differential game problem of one pursuer and one evader in the Hilbert space .  The differential game is described by an infinite number of first-order 2-systems of linear differential equations. The control functions of players are subjected to integral constraints. A game is started from the given initial position . It is given another point in the space . If the state of the infinite system coincides with the point  at some time, then pursuit is considered completed. Our purpose is to obtain an equation to find a guaranteed pursuit time and construct a strategy for the pursuer.

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How to Cite
Ibragimov, G., Waziri, U., Alias, I. A., & Ibrahim, Z. B. (2019). A GUARANTEED PURSUIT TIME IN A DIFFERENTIAL GAME IN HILBERT SPACE. Malaysian Journal of Science, 38(Sp 1), 43–54. https://doi.org/10.22452/mjs.sp2019no1.4
Section
ICMSS2018 (Published)

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