A constructive approach to the analysis of nonlinear resistive circuits based on the fixed point algorithm theory

Yuzo Sumi, Regular Member*, Shin'Ichi Oishi, Tadaaki Takase, Kazuo Horiuchi, Regular Members

*この研究の対応する著者

研究成果: Article査読

抄録

The existence problem for solution of a nonlinear resistive circuit and the problem of identifying the number of the solutions are classic and basic problems in circuit theory. In their paper “On the application of degree theory to the analysis of resistive nonlinear networks” (Int. J. Cir. Theor. Appl., 5, pp. (1977)), Chua and Wang presented a unified theory for the existence of solutions for nonlinear circuit equations. That is, on the basis of the degree theory the existence of solutions of many nonlinear resistive circuits can be guaranteed in a unified manner by showing that the circuit equations are homotopic to certain odd fields. Their arguments are, however, not constructive. In this paper, an algorithm based on the fixed‐point algorithm theory is presented and it is proved that by this algorithm at least one solution can always be constructed for nonlinear circuit equations whose solutions are guaranteed to exist by Chua and Wang's theorems. Usefulness of the algorithm is also demonstrated by a few examples.

本文言語English
ページ(範囲)11-18
ページ数8
ジャーナルElectronics and Communications in Japan (Part I: Communications)
68
6
DOI
出版ステータスPublished - 1985 6

ASJC Scopus subject areas

  • コンピュータ ネットワークおよび通信
  • 電子工学および電気工学

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