基于楔形基函数的微分博弈两点边值问题的逼近  

Approximation method for two-point boundary value problem of differential game based on ridge basis function

作　　者：田双亮[1] 房保言[1] 王志刚[2] 

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030 [2]西安交通大学阳光中学,陕西西安710043

出　　处：《山东大学学报（理学版）》2011年第8期38-41,46,共5页Journal of Shandong University(Natural Science)

基　　金：国家民委科研基金资助项目(10xb01);西北民族大学研究生科研创新基金资助项目(ycx10114)

摘　　要：微分博弈研究中如何构造更有效的数值算法求解鞍点策略的近似解,仍是一个开放问题。基于楔形基函数,构造了一种新的求解微分博弈两点边值问题的数值方法,给出了解的存在惟一性,并通过算例验证了算法的可行性,为鞍点策略的近似解的求解提供了一种有效的方法。The study of a differential game has yielded a number of substantial results. However, numerical method for saddle point strategy is still an open question. In this paper, a new method with ridge basis function for two-point boundary value problem of differential game is developed, where the existence and uniqueness of the solution of two- point boundary value problem is established and discussed. Also, the method is applied to numerical examples to exam- ine its appropriateness. It will be a useful way to solve numerical solutions of saddle point strategy.

关 键 词：微分博弈 两点边值问题 楔形基函数 

分 类 号：O225[理学—运筹学与控制论]