Purpose

In this paper, on the basis of a previously developed approach to circuit optimization, the main element of which is the control vector that changes the form of the basic equations, the structure of the control vector is determined, which minimizes CPU time.

Design/methodology/approach

The circuit optimization process is defined as a controlled dynamic system with a special control vector. This vector serves as the main tool for generalizing the problem of circuit optimization and produces a huge number of different optimization strategies. The task of finding the best optimization strategy that minimizes processor time can be formulated. There is a need to find the optimal structure of the control vector that minimizes processor time. A special function, which is a combination of the Lyapunov function of the optimization process and its time derivative, was proposed to predict the optimal structure of the control vector. The found optimal positions of the switching points of the control vector give a large gain in CPU time in comparison with the traditional approach.

Findings

The optimal positions of the switching points of the components of the control vector were calculated. They minimize processor time. Numerical results are obtained for various circuits.

Originality/value

The Lyapunov function, which is one of the main characteristics of any dynamic system, is used to determine the optimal structure of the control vector, which minimizes the time of the circuit optimization process.

中文翻译：

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分析不同优化策略的结构

目的

在本文中，基于先前开发的电路优化方法，其主要元素是改变基本方程式形式的控制向量，确定了控制向量的结构，从而最大程度地减少了CPU时间。

设计/方法/方法

电路优化过程定义为具有特殊控制向量的受控动态系统。该向量用作概括电路优化问题的主要工具，并产生了大量不同的优化策略。可以制定寻找使处理器时间最短的最佳优化策略的任务。需要找到最小化处理器时间的控制向量的最佳结构。提出了一种特殊函数，该函数将优化过程的Lyapunov函数及其时间导数组合在一起，以预测控制矢量的最佳结构。与传统方法相比，找到的控制矢量切换点的最佳位置在CPU时间方面获得了很大的收益。

发现

计算控制向量的分量的切换点的最佳位置。它们将处理器时间减至最少。获得了各种电路的数值结果。

创意/价值

Lyapunov函数是任何动态系统的主要特征之一，用于确定控制矢量的最佳结构，从而最大程度地减少了电路优化过程的时间。