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非线性代数方程组的信号流图解法及其应用 被引量:2

The Signal Flow Graph Solutions of Nonlinear Algebraic Equations and Their Applications
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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. 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.
出处 《应用科学学报》 CAS CSCD 2004年第2期173-177,共5页 Journal of Applied Sciences
基金 国家自然科学基金资助项目(69872010)
关键词 非线性代数方程组 信号流图法 Mason公式 非线性电路 nonlinear equations signal flow graphs Mason formula nonlinear circuits and systems
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参考文献5

  • 1Mason S J. Feedback theory some properties of signal flow graphs [J]. IRE,1953,41:1146-1156.
  • 2MasonS J, Feedback theory further properties of signal flow graphs [J]. IRE,1956,44(7):920-926.
  • 3Coates C L. Flow-graph solutions of linear algebraic equations [J]. IEEE Trans on Circuit Theory,1959,CT-6: 170- 187.
  • 4Chan S P, Bapna B H. A modification of the coates gain formula for the analysis of linear system [J].Inst J of Control,1967,5(5):483-495.
  • 5Endy C E, Lin P M. A minimization problem in systems characterized by acyclic signal flow graphs [J].IEEE Trans on Circuits and Systems, 1981,CAS-28(8) :768-780.

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