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应用科学学报 ›› 2004, Vol. 22 ›› Issue (2): 173-177.

• 论文 • 上一篇    下一篇

非线性代数方程组的信号流图解法及其应用

商慧亮, 李锋, 李琳琳   

  1. 复旦大学电子工程系 上海 200433
  • 收稿日期:2003-02-27 修回日期:2003-06-09 出版日期:2004-06-30 发布日期:2004-06-30
  • 作者简介:商慧亮(1978-),男,山东烟台人,硕士生;李锋(1946-),男,上海人,教授,博导.
  • 基金资助:
    国家自然科学基金资助项目(69872010)

The Signal Flow Graph Solutions of Nonlinear Algebraic Equations and Their Applications

SHANG Hui-liang, LI Feng, LI Lin-lin   

  1. Department of Electronic Engineering, Fudan University, Shanghai 200433, China
  • Received:2003-02-27 Revised:2003-06-09 Online:2004-06-30 Published:2004-06-30

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105

被引次数

3

摘要： 提出了解非线性代数方程组的信号流图法.该方法将求解线性代数方程组的Mason公式推广应用于非线性代数方程组,且能获得非线性代数方程组的"通解"与"特解".该方法可应用于一切非线性电路、网络与系统.

关键词: 非线性方程, Mason公式, 非线性系统, 信号流图

Abstract: Signal flow graph solutions of nonlinear algebraic equations are presented in this paper.The use of Mason Formula for linear algebraic equations is extended to nonlinear algebraic (equations).The method can obtain "general solutions",and "special solutions" of nonlinear algebraic equations and can be used in the analysis of all nonlinear circuits and systems.

Key words: signal flow graphs, Mason formula, nonlinear equations, nonlinear circuits and systems

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