Stability analysis of a class of nonlinear dynamic systems

被引：0

作者：

Song, Wenyan ^{[1
]}

Wang, Degang ^{[2
]}

Li, Hongxing ^{[1
]}

Wang, Weiguo ^{[2
]}

机构：

[1] Department of Quantitative Economics, Donghei University of Finance and Economics, Dalian 116025, China

[2] School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China

来源：

ICIC Express Letters | 2010年 / 4卷 / 01期

关键词：

Asymptotic stability - Nonlinear equations - Nonlinear dynamical systems - Dynamical systems - System stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Stabilities of a class of nonlinear systems are investigated in this paper.Firstly, fuzzy inference is applied to set up a kind of nonlinear differentialequation model for dynamic system, named HX equation, the stabilities of thepiecewise equations in which is convenient to judge. Then, it is pointed outthat HX equations can approxi mate a class of nonlinear dynamic systems to anydegree of accuracy. Furthermore, it is demonstrated that if equilibrium pointsof HX equations are stability, asymptotic stability or instability, then thesolutions of the approximated equations have the same properties. At last, asimulation result illustrates the validity of the conclusions. ICIC International © 2010.

引用

页码：281 / 287

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