期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 38, 期 1, 页码 202-226出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0036142999351765
关键词
optimal control; numerical solution; discretization; Runge Kutta scheme; rate of convergence
In this paper, we analyze second-order Runge-Kutta approximations to a nonlinear optimal control problem with control constraints. If the optimal control has a derivative of bounded variation and a coercivity condition holds, we show that for a special class of Runge Kutta schemes, the error in the discrete approximating control is O(h(2)) where h is the mesh spacing.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据