离散控制系统数值方法的收敛性

THE CONVERGENCE OF NUMERICAL METHODS IN A DISCRETE CONTROL SYSTEM

给出离散控制系统数值格式收敛性的定义,得到一般数值格式收敛的一个充分条件,并得到了欧拉格式和梯形格式收敛的充要条件及它们的收敛速度.

A convergence definition of numerical methods in a discrete control system is proposed. A sufficient condition for the convergence of a general numerical scheme is given. The necessary and sufficient conditions for the convergence of Eulorian and trapezoidal schemes, together with their rates of convergence are obtained.