Necessary and Sufficient Conditions for the Basic Equation of Nonlinear Resistive Circuits Containing Ideal Diodes to Have a Unique Solution (Special Section on JTC-CSCC '92)

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概要

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• This paper deals with the uniqueness of a solution of the basic equation obtained from the analysis of resistive circuits including ideal diodes. The equation in consideration is of the type of (A-Λ)X=b, where A is a constant matrix, b a constant vector, X an unknown vector satisfying X ≧0, and Λ a diagonal matrix whose diagonal elements take the value 0 or 1 arbitrarily. The necessary and sufficient conditions for the equation to have a unique solution X≧0 for an arbitrary vector b are shown. Some numerical examples are given for the illustration of the result.

• 社団法人電子情報通信学会の論文
• 1993-06-25

著者

• Nishi Tetsuo

  The Faculty Of Engineering Kyushu University

• Kawane Yuji

  the Faculty of Engineering, Kyushu University

関連論文

• Necessary and Sufficient Conditions for the Basic Equation of Nonlinear Resistive Circuits Containing Ideal Diodes to Have a Unique Solution (Special Section on JTC-CSCC '92)
• A Theorem on an Ω-Matrix Which is a Generalization of the P-Matrix (Special Section on Nonlinear Theory and its Applications)
• Research Topics and Results on Nonlinear Circuits and Systems (Special Section on Surveys of Researches in CAS Fields in the Last Two Decades, I)

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