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非线性网络的拓扑分析 被引量:2

Topological Analysis for Nonlinear Networks
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摘要 将线性网络的拓扑分析法推广到非线性网络,提出了非线性网络的"通解"、"特解"、"真特解"等新概念,使非线性网络有了类似于线性网络的解析解,这对于非线性电路的分析和设计是非常有用的. The topological analysis for linear networks is extended to nonlinear networks. The concepts such as 'general solution','particular solution' and 'true particular solution' of nonlinear networks are first presented. The topological method makes analytic solutions available for nonlinear network, which are similar to that of linear networks. The analytic solutions are very useful for analyzing and designing of nonlinear circuits.
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 2005年第1期7-11,共5页 Journal of Fudan University:Natural Science
基金 国家自然科学基金资助项目(69872010)
关键词 非线性网络 拓扑分析 非线性电路 解析解 特解 类似 通解 推广 circuits and systems topological analysis nonlinear networks graph theory
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参考文献4

  • 1Chan S P, Chan S Y, Chan S G. Analysis of Linear Networks and Systems [M]. San Jose: Reading, Mass Addison-Wesley Publishing Company, Inc, 1972.
  • 2Chen W K. Applied Graph Theory [M]. Amsterdam: North-Holland, 1976.
  • 3陈惠开.有源网络的拓扑公式和复杂度--统一综述[A]..陈惠开教授论文选集 [M].长沙:湖南科技出版社,1986.114-122.
  • 4Chen W K. Topological analysis for active networks [J]. IEEE Trans On Circuit Theory, 1965, CT-12(1):85-91.

同被引文献16

  • 1[1]Chan S P,Chan S Y,Chan S G.Analysis of Linear Networks and Systems[M].San Jose:Reading,Mass Addison-Wesley Publishing Company,Inc.,1972.
  • 2[2]Chen W K.Applied Graph Theory[M].Amsterdam:North-Holland,1976.
  • 3[3]Chen W K.Topological Analysis for Active Networks[J].IEEE Trans.On Circuit Theory,1965,12(1):85-91.
  • 4[4]Starzyk J A,Sliwa E.Upward Topological Analysis of Large Circuits Using Directed Graph Representation[J].IEEE Trans.On Circuits and Systems,1984,31(4):410-414.
  • 5[5]Starzyk J A,Konczykowska A.Flowgraph Analysis of Large Electronic Networks[J].IEEE Trans.On Circuits and Systems,1986,33(3):302-315.
  • 6[6]Yang J,Tan S X-D,Qi Z,et al.Hierarchical Symbolic Piecewise-Linear Circuit Analysis[C]// Proceedings of the 2005 IEEE International Workshop of Behavioral Modeling and Simulation.2005:140-145.
  • 7[7]Borchers C,Sommer R,Hennig E.On the Symbolic Calculation of Nonlinear Circuits[C]// Proceedings of the 1996 IEEE International Symposium on Circuits and Systems.1996:719-722.
  • 8[8]Leenaerts D M W.Symbolic Analysis of Large Signals in Nonlinear Systems[C]// Proceedings of the 1999 IEEE International Symposium on Circuits and Systems.1999:5-8.
  • 9[9]Floberg H,Mattisson S.Symbolic Distortion Analysis of Nonlinear Elements in Feedback Amplifiers Using Describing Functions[J].International Journal of Circuit Theory & Applications,1995,23(4):345-356.
  • 10[10]Manthe A,Li Z,Shi C-J R.Symbolic Analysis of Analog Circuits with Hard Nonlinearity[C]// Proceedings of the Design Automation Conference.2003:542-545.

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