云南师范大学学报（自然科学版）
雲南師範大學學報（自然科學版）
운남사범대학학보（자연과학판）
JOURNAL OF YUNAN NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
2014年
6期
8-13
,共6页
最优控制%鞍点%最优策略%最大值原理%最小值原理
最優控製%鞍點%最優策略%最大值原理%最小值原理
최우공제%안점%최우책략%최대치원리%최소치원리
Optimal control%Saddle point%Optimal strategies%Maximum principle%Minimum principle
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。
基于最優控製理論刻畫二人微分博弈。首先，引進最優控製的狀態方程和性能指標；其次，利用(DGP)τ定義微分博弈狀態方程和性能指標，併用雙極值原理得到最優控製對的顯示錶達式；然後，用擬黎卡提方程和非自治的二人微分博弈相結閤，併且說明用雙極值得到的是最優策略存在且唯一；最後，給齣實例分析。
기우최우공제이론각화이인미분박혁。수선，인진최우공제적상태방정화성능지표；기차，이용(DGP)τ정의미분박혁상태방정화성능지표，병용쌍겁치원리득도최우공제대적현시표체식；연후，용의려잡제방정화비자치적이인미분박혁상결합，병차설명용쌍겁치득도적시최우책략존재차유일；최후，급출실례분석。
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 in-troduced;Secondly,the differential games problem was denoted by using (DGP)τand the representa-tion 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.
