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离散控制系统数值方法的收敛性
引用本文:张慧生. 离散控制系统数值方法的收敛性[J]. 复旦学报(自然科学版), 1992, 31(4): 393-402
作者姓名:张慧生
作者单位:复旦大学应用力学系
摘    要:

关 键 词:收敛性 离散控制系统 数值格式

THE CONVERGENCE OF NUMERICAL METHODS IN A DISCRETE CONTROL SYSTEM
Zhang Huisheng. THE CONVERGENCE OF NUMERICAL METHODS IN A DISCRETE CONTROL SYSTEM[J]. Journal of Fudan University(Natural Science), 1992, 31(4): 393-402
Authors:Zhang Huisheng
Affiliation:Department of Applied Mechanics
Abstract: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.
Keywords:convergence  eigenvalue  discrete control system  numerical scheme  elementary divisor
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