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Capturability of Pseudo Differential Games of Pursuit
作者姓名:YAN  Yangkui
作者单位:YAN Yangkui Department of Mathematics,Shanxi University,Taiyuan 030006,Shanxi,P.R.China
摘    要:This paper discusses the capturability with fixed time of a pseudo-linear differentialgame of pursuit.The pursuit set in which the pursuit will end once the initial state lies in this set isgiven by the method of integration of multi-valued function.The results obtained here solve an openproblem of Pontrjagin's on the linear differential game of pursuit.Meanwhile,the requirement of theconvexity of the control set and other related Pontrjagin's conditions are removed.


Capturability of Pseudo Differential Games of Pursuit
YAN Yangkui.Capturability of Pseudo Differential Games of Pursuit[J].Journal of Systems Science and Systems Engineering,1993(4).
Authors:YAN Yangkui
Institution:YAN Yangkui Department of Mathematics,Shanxi University,Taiyuan 030006,Shanxi,P.R.China
Abstract:This paper discusses the capturability with fixed time of a pseudo-linear differential game of pursuit. The pursuit set in which the pursuit will end once the initial state lies in this set is given by the method of integration of multi-valued function. The results obtained here solve an open problem of Pontrjagin's on the linear differential game of pursuit. Meanwhile, the requirement of the convexity of the control set and other related Pontrjagin's conditions are removed.
Keywords:pursuit differential game  pseudo-linear differential game  
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