NUMERICAL METHOD BASED ON HAMILTON SYSTEM AND SYMPLECTIC ALGORITHM TO DIFFERENTI

排行榜 收藏 打印 发给朋友 举报 来源: 《Applied Mathematics and Mechanics》 发布者:cjk3d
热度0票 浏览14次 【共0条评论】【我要评论 时间:2006年12月11日 14:08
NUMERICAL METHOD BASED ON HAMILTON SYSTEM AND SYMPLECTIC ALGORITHM TO DIFFERENTIAL GAMES

The resolution of differential games often concerns the difficult problem of two points border value (TPBV), then ascribe linear quadratic differential game to Hamilton system. To Hamilton system, the algorithm of symplectic geometry has the merits of being able to copy the dynamic structure of Hamilton system and keep the measure of phase plane. From the viewpoint of Hamilton system, the symplectic characters of linear quadratic differential game were probed; as a try, Symplectic-Runge-Kutta algorithm was presented for the resolution of infinite horizon linear quadratic differential game. An example of numerical calculation was given, and the result can illuminate the feasibility of this method. At the same time, it embodies the fine conservation characteristics of symplectic algorithm to system energy.水利论文Br5C4Hzp;bXq

作 者: XU Zi-xiang ZHOU De-yun DENG Zi-chen  
作者单位:XU Zi-xiang,ZHOU De-yun(School of Electron and Information, Northwestern Polytechnical University,Xi'an 710072, P. R. China)
C BU^ {"hy0DENG Zi-chen(Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, P. R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(3) 
分类号:O225 TP273 
关键词:differential game   Hamilton system   algorithm of symplectic geometry   linear quadratic  
机标关键词:DIFFERENTIAL GAMESSYMPLECTIC ALGORITHMHamilton systemdifferential gameslinear quadraticnumerical calculationsymplectic algorithmsymplectic geometrydynamic structurephase plane 
基金项目:the National Aeronautics Base Science Foundation of China,国防预研项目 
下一篇:PRESSURE AND PRESSURE GRADIENT IN AN AXISYMMETRIC RIGID VESSEL WITH STENOSIS
上一篇:SPACE-TIME FINITE ELEMENT METHOD FOR SCHR(O)DINGER EQUATION AND ITS CONSERVATION
查看全部回复【已有0位网友发表了看法】

广告投放

广告投放