积分约束下的追逐微分博弈
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摘要
考虑二维空间中多人追逐一人逃逸的简单运动的追逐微分博弈,首先对参与者的控制函数强加上了积分约束的条件,然后明确提出了可容许的追逐策略来得到追逐完备的充分条件。
In this paper,we consider a simple motion pursuit differential game of many pursuers and one evader with control functions of players subjected to integral constraints in the plane. The main result of this paper is to solve the game by putting forward to the explicit and admissible strategies for the pursuers in which the sufficient conditions for the completion of pursuit are obtained.
In this paper,we consider a simple motion pursuit differential game of many pursuers and one evader with control functions of players subjected to integral constraints in the plane. The main result of this paper is to solve the game by putting forward to the explicit and admissible strategies for the pursuers in which the sufficient conditions for the completion of pursuit are obtained.
引文
[1]Kuchkarov A,Ibragimov G I,Sotvoldiev A.Linear discrete pursuit game problem with total constraints[C].Abstract and Applied Analysis,2013:1-5.
[2]Ibragimov G I,Salleh Y.Simple motion evasion differential game of many pursuers and one evader with integral constraints on control functions of players[J].Journal of Applied Mathematics,2012:1-10.
[3]Ibragimov G I,Salimi M,Amini M.Evasion from many pursuers in simple motion differential game with integral constraints[J].European Journal of Operational Research,2012,218(2):505-511.
[4]Ibragimov G I,Satimov N M.A multiplayer pursuit differential game on a closed convex set with integral constraints[C].Abstract and Applied Analysis,2012:1-12.
[5]Kuchkarov A S,Ibragimov G I,Khakestari M.On a linear differential game of optimal approach of many pursuers with one evader[J].Journal of Dynamical and Control Systems,2013,19(1):1-15.
[2]Ibragimov G I,Salleh Y.Simple motion evasion differential game of many pursuers and one evader with integral constraints on control functions of players[J].Journal of Applied Mathematics,2012:1-10.
[3]Ibragimov G I,Salimi M,Amini M.Evasion from many pursuers in simple motion differential game with integral constraints[J].European Journal of Operational Research,2012,218(2):505-511.
[4]Ibragimov G I,Satimov N M.A multiplayer pursuit differential game on a closed convex set with integral constraints[C].Abstract and Applied Analysis,2012:1-12.
[5]Kuchkarov A S,Ibragimov G I,Khakestari M.On a linear differential game of optimal approach of many pursuers with one evader[J].Journal of Dynamical and Control Systems,2013,19(1):1-15.