论文标题
用于负系数的一阶微分方程的无限系统系统的追踪游戏
Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients
论文作者
论文摘要
在本文中，我们研究了希尔伯特空间中的一阶微分方程的无限系统描述的线性追求差异游戏。玩家的控制功能受几何约束。追求者试图将系统从给定的初始状态带到有限的时间，而逃避者的目的相反。我们获得保证的追求时间，并为追求者构建战略。
In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. The control functions of players are subject to geometric constraints. The pursuer attempts to bring the system from a given initial state to the origin for a finite time and the evader's purpose is opposite. We obtain a guaranteed pursuit time and construct a strategy for pursuer.
