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一类非线性系统平稳周期稳定解分析

周晓峰 韩小森

现代电子技术2017,Vol.40Issue(14):26-29,4.
现代电子技术2017,Vol.40Issue(14):26-29,4.DOI:10.16652/j.issn.1004-373x.2017.14.007

一类非线性系统平稳周期稳定解分析

Analysis of stable periodic solution of first-class nonlinear systems

周晓峰 1韩小森2

作者信息

  • 1. 黄河水利职业技术学院,河南开封475004
  • 2. 河南大学数学与统计学院,河南开封475004
  • 折叠

摘要

Abstract

The traditional stability analysis method has the problems of low analysis precision and poor analysis efficiency.The fitting of nonlinear systems by using Cauchy-Hadamard type nonlinear equation is proposed.The generalized pseudorandom feature analysis method of energy supercritical fluctuation is used in homogeneous Sobolev space to achieve differential approximation of stable periodic solutions of nonlinear system.The quintic wave equation is adopted in Marney number chain to carry out Lyapunove function of steady periodic stable solutions to obtain the convergence conditions of steady periodic stable solution.The experimental results of the stability and asymptotic convergence of steady periodic solutions show that the nonlinear system has a stable periodic solution under the condition of non deterministic convex optimization,which can effectively meet the demand of stability control.

关键词

非线性系统/平稳周期稳定解/系统拟合/收敛性条件

Key words

nonlinear system/stable periodic solution/system fitting/convergence condition

分类

信息技术与安全科学

引用本文复制引用

周晓峰,韩小森..一类非线性系统平稳周期稳定解分析[J].现代电子技术,2017,40(14):26-29,4.

基金项目

国家自然科学基金研究项目(11026077) (11026077)

现代电子技术

OA北大核心CSTPCD

1004-373X

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