LIN Xiao-ying, ZHOU Shu-hong, WANG Hui. The Controlled Condition of Nonlinear Differential Equations System In R~n[J]. 2009, 14(4): 86-88.DOI:
R~n中一类非线性微分方程组支配系统的可控性
摘要
在Rn中研究一类非线性微分方程组支配系统的最优扰动控制问题.本文将扰动函数作为控制变量
以范数的大小来衡量控制元的最优性
给出了该微分方程组支配系统的可控性条件及最优控制元的存在性定理.
Abstract
The optimal disturbance control problems of nonlinear differential equations system are discussed in Rn.We have given the controlled condition and existence theorem of optimal control element by regarding the disturbance function as control variable and judging its optimality by the large or small of norm.