中文摘要：

基于最优控制理论刻画二人微分博弈.首先,引进最优控制的状态方程和性能指标;其次,利用（DGP）τ定义微分博弈状态方程和性能指标,并用双极值原理得到最优控制对的显示表达式;然后,用拟黎卡提方程和非自治的二人微分博弈相结合,并且说明用双极值得到的是最优策略存在且唯一;最后,给出实例分析.

英文摘要：

In this study,the two-person differential games with nonautonomous was described based on the optimal control theory. First of all,the equation of state and the performance index were introduced; Secondly, the differential games problem was denoted by using （DGP）, and the representation of optimal control was obtained by using the maximum principle and minimum principle; Then, the so-called quasi-Riccati equation with the nonautonomous Two-Person differential was synthesized. Furthermore,we tested that using the maximum principle and minimum principle can prove that there exists a unique pair of optimal strategies. Finally,the example was analyzed.