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We consider a qualitative differential game between two players, each with their own respective target.


A twoplayer qualitative differential game with a given target is considered.




 In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of twoperson zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit... In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of twoperson zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit in airtoair combat, the application of differential games in system engineering and the leaderfollower strategy,the differential games with imperfect information , differential games with time lag , positional differential games, and the method of functional analysis in solving differential game problems, etc. Of course, these are not the all problems of today.More than 40 literatures are listed for further research.  本文首先叙述了微分对策问题的起源及其初期的发展简史,然后介绍一类二人零和的微分对策问题和一类定性微分对策问题,以进一步说明微分对策问题的性质,这是两种比较基本的微分对策问题。 最后,介绍当前的某些问题。例如,空战格斗中的追逐对策,微分对策在系统工程中的应用以及主——从对策,信息不完全的微分对策,有时滞的微分对策,阵地对策,以及泛函分析方法在微分对策理论中的应用等。当然,这些绝非现代问题的全部。 文末附有参考文献四十余篇,供进一步参考之用。  A method of dealing with twotarget problem in terms of coordinate transformation and qualitative differential game was presented in this paper. It has analysed the capture region, escape region and dangerous region. This approach is helpful to a pilot to possess favorable position in airtoair combat in plane.  结合坐标变换和能控区及微分对策方法,本文提出较为细缀的一种处理双机格斗“二重角色”问题的方法。分析了捕捉区、逃避区和危险区,有助于飞行员在空战格斗中采取有利于自己的控制。本文在空战格斗的对策模型中,考虑了双方匀变速运动。  This paper discusses two problems of one pursue two and onetotwo countermeasures which are abstracted from practical military combat modes at sea.Three methods are discussed to solve the one pursue two problem, they are course method of the initial angular bisector, course method of the instantaneous angular bisector and midpoint path method. This paper also gives the determinate mathematical model and the iteration method. Onetotwo countermeasures problem is solved on the basis of the onetoone countermeasures... This paper discusses two problems of one pursue two and onetotwo countermeasures which are abstracted from practical military combat modes at sea.Three methods are discussed to solve the one pursue two problem, they are course method of the initial angular bisector, course method of the instantaneous angular bisector and midpoint path method. This paper also gives the determinate mathematical model and the iteration method. Onetotwo countermeasures problem is solved on the basis of the onetoone countermeasures problem, the conclusion can be drawn from the conclusion of the onetoone countermeasures problem by overlapping. Onetoone countermeasures problem is expanded on the basis of the double side extreme value principle of qualitative differential game.  研究了海上军事实战模式抽象出的一追二和一二对抗的两大问题。解决一追二问题的方法共讨论了三种：初始角的平分线航向法、瞬时角的平分线航向法、中点轨迹法。给出了确定性的数学模型、以及选代计算方法。一二对抗问题的结论可以由—一对抗问题的结论经过迭加而得到。而—一对抗问题的解决是以定性微分对策的双边极值原理为基础展开的。   << 更多相关文摘 
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