On some pursuit and evasion differential game problems for an infinite number of first-order differential equations

We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space l2. Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case,...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Ja'afaru, Abbas Badakaya, Ibragimov, Gafurjan
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: Hindawi Publishing Corporation 2012
Linkit:http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf
Kuvaus
Yhteenveto:We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space l2. Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case, we give sufficient conditions for completion of pursuit and for which evasion is possible. Consequently, strategy of the pursuer and control function of the evader are constructed in an explicit form for every problem considered.