Evasion from one pursuer in a Hilbert space

We study a differential game of one pursuer and one evader described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert spaces. We proved one theorem on evasion. Moreover, we co...

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Bibliographic Details
Main Authors: Allahabi, Fateh, Ibragimov, Gafurjan I.
Format: Article
Language:en
Published: World Scientific Publishing 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25287/1/Evasion%20from%20one%20pursuer%20in%20a%20Hilbert%20space.pdf
http://psasir.upm.edu.my/id/eprint/25287/
http://dx.doi.org/10.1142/S2010194512005624
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Summary:We study a differential game of one pursuer and one evader described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert spaces. We proved one theorem on evasion. Moreover, we constructed explicitly a control of the evader.