Sensitivity Analysis and Optimization Algorithm --- Based on Nonlinear Programming ---

Abstract

Masayoshi ODA †a) , Nonmember, Yoshihiro YAMAGAMI †b) , Junji KAWATA † †c) , Yoshifumi NISHIO †d) , Members, and Akio USHIDA † †e) , Fellow SUMMARY We propose here a fully Spice-oriented design algorithm of op-amps for attaining the maximum gains under low power consumptions and assigned slew-rates. Our optimization algorithm is based on a well-known steepest descent method combining with nonlinear programming. The algorithm is realized by equivalent RC circuits with ABMs (analog behavior models) of Spice. The gradient direction is decided by the analysis of sensitivity circuits. The optimum parameters can be found at the equilibrium point in the transient response of the RC circuit. Although the optimization time is much faster than the other design tools, the results might be rough because of the simple transistor models. If much better parameter values are required, they can be improved with Spice simulator and/or other tools.

Global asymptotic stability of nonlinear circuits related to maximum flow problems

“…In addition to the above-mentioned work, various recurrent neural network models for optimization problems have been investigated in the literature (see e.g., [11,12] and references therein). Also, some authors proposed to use SPICE, the most widely used circuit simulator, for solving constrained optimization problems [13][14][15] Recently, Sato et al [16] proposed a class of nonlinear circuits 1 for solving maximum flow problems. A maximum flow problem is the problem to find the maximum amount of flow from the source to the sink through capacitated edges in a given network.…”

Application of the Electrical Chain Model for Search Shortest Path in a Weighted Directed Graph

“…На додаток до вищезгаданої роботи, у літературі досліджувалися різні моделі рекурентних нейронних мереж для задач оптимізації (див., наприклад, [11,12]). Крім того, деякі автори пропонували використовувати SPICE, що найбільш широко використовується симулятор схем, для вирішення завдань оптимізації з обмеженнями [13][14][15].…”