摘要
从工程实际出发 ,借助最佳逼近论和总体极值的思想 ,运用常微分方程组的求解理论 ,最优化理论与数值方法 ,为在最优控制中的一类条件微分方程组的求解 ,开辟了一条新的求解途径 ,并用多个计算实例 ,证明了算法的有效性和可行性 .
Standing on engineering practice,the optimization theorem and numerical method create a new way to solve a certain kind of conditional differential equations in optimal control.This method uses the idea of the best approximation theorem,the global extreme value and the solution theorem of differential equations with constant coefficients.At the end of this paper several examples are presented to show the effectiveness and feasibility of this method.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2001年第3期371-376,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)