Level sets of the value function in linear differential games with elliptical vectograms

机译：具有椭圆形向量图的线性微分对策中值函数的水平集

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Examples of linear differential games with fixed terminal time and elliptical constraints on the players controls are considered. These examples are interesting because some level sets of value function have narrow "throats". Presence of such throats demands extremely precise computations during the numerical construction of the level sets.

机译：考虑具有固定结束时间和玩家控件上的椭圆约束的线性差分游戏的示例。这些示例很有趣，因为某些级别的值函数集具有狭窄的“喉咙”。这种喉咙的存在要求在水平集的数字构造过程中进行极其精确的计算。

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《IFAC workshop on control applications of optimization;CAO 2000》|2000年|p.579-584|共6页
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S.S.Kumkov; V.S.Patsko; J.Shinar;
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中图分类自动化技术、计算机技术;
关键词
differential games; elliptical constraints; numerical methods;

机译：差分游戏;椭圆约束数值方法;

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1. Gaussian Curvature Estimates for the Convex Level Sets of Solutions for Some Nonlinear Elliptic Partial Differential Equations [J] . WANG Peihe, ZHANG Wei 偏微分方程：英文版 . 2012,第003期

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2. ON LEVEL SETS WITH 'NARROW THROATS' IN LINEAR DIFFERENTIAL GAMES [J] . SERGEY S. KUMKOV, VALERY S. PATSKO, JOSEF SHINAR International game theory review . 2005,第3期

机译：线性微分游戏中带有“窄喉”的水平集合
3. Level Sets of the Value Function in Differential Games with Two Pursuers and One Evader. Interval Analysis Interpretation [J] . Sergey S. Kumkov, Stéphane Le Ménec, Valerii S. Patsko Mathematics in computer science . 2014,第3a4期

机译：具有两个追求者和一个逃避者的微分游戏价值函数的水平集。区间分析解释
4. Level sets of the value function in linear differential games with elliptical vectograms [C] . S.S.Kumkov, V.S.Patsko, J.Shinar IFAC Workshop on Control Applications of Optimization . 2001

机译：用椭圆形矢量线性差动游戏的价值函数的级别集
5. Lineer Eliptik k?smi Diferensiyel Denklemlerde Integral operat?rler =Integral operators in linear elliptic partial differential equations [D] . Ya??z, ?brahim. 2021

机译：线性椭圆k？SMI差动方程积分操作？滚子=线性椭圆局部微分方程中的积分运算符
6. Boundary Values of Functions Satisfying a Linear Partial Differential Equation of Elliptic Type [O] . Stefan Bergman 1940

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7. Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations [O] . Wang, Pei-He, Zhang, Wei 2010

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8. A Function Theoretic Method for Treating the Three Dimensional Elliptic Linear Partial Differential Equation Laplacian Squared plus a Real Valued Entire Function Times U Equals Zero. [R] . Gilbert, R. P., Kukral, D. 1973

机译：三维椭圆型线性偏微分方程拉普拉斯平方加上实值整函数次数U等于零的函数理论方法。

Level sets of the value function in linear differential games with elliptical vectograms

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