论文信息 - Finding multiple solutions of piecewise-affine resistive circuits

Finding multiple solutions of piecewise-affine resistive circuits

A combinatorial method for finding all solutions of piecewise-affine resistive circuits is presented. The method is applied to a proposed representation of piecewise-affine equations which uses convex-set theory, but in no way is it restricted to this representation. Based on the developed method, a systematic search scheme is given to determine the regions which have solutions including infinite ones, and its efficiency is compared to other combinatorial methods given in the literature. It is noted that the proposed method does not necessitate the calculation and the existence of the inverse of the Jacobian matrix in any region. Thus, it is capable of finding infinite solutions.<<ETX>>

C. Guzelis | I.C. Goknar

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