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分解法求解非线性系统状态方程及其应用
引用本文:张承慧,谭震宇.分解法求解非线性系统状态方程及其应用[J].控制与决策,1997,12(5):618-621.
作者姓名:张承慧  谭震宇
作者单位:山东工业大学自动化系!济南250061(张承慧),山东工业大学(谭震宇)
摘    要:利用分解法求解非线性系统状态方程,推导出相应的算法。给出计算实例,并用四阶龙格库塔方法进行比较,说明分解法比龙格—库塔方法具有更高的精度和更快的收敛性,该算法具有很大的普适性,是解决非线性系统计算问题的有效方法。

关 键 词:非线性系统  状态方程  分解法  数值仿真

Decomposition Method for Solutions of Nonlinear System State Equations and Its Applications
Zhang Chenghui? Tan Zhenyu.Decomposition Method for Solutions of Nonlinear System State Equations and Its Applications[J].Control and Decision,1997,12(5):618-621.
Authors:Zhang Chenghui? Tan Zhenyu
Affiliation:Shandong University of Technology
Abstract:The decomposition method is used for solution of nonlinear system state equations and the corre-sponding algorithm is derived in this paper. The actual computations examples are provided. Comparing with Rrunga-Kutta method, the decomposition method has a higher accruracy. more rapid convergence and it can be used to a wide and general class of systems providing an effective procedure for the solution of nonlinear system computation.
Keywords:nonlinear system  state equation  decomposition method  numeral simulation
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