Abstract. A new simplified scheme is proposed to construct Pontryagin’s alternating integral in pursuit games described by the differential inclusion z ∈ – F(t,v), where F is a continuous compact-valued mapping. The scheme is applied to differential games of pursuit.
Keywords: alternating integral, differential inclusion, pursuit, multi-valued mapping, partial sums.
Исканаджиев Икромжон Мадашевич,
кандидат физ.-мат. наук, доцент Ташкентского государственного технического университета, Узбекистан,
e-mail: ikrom1960@mail.ru.