Journal of Hebei University(Natural Science Edition) >

2017 , Vol. 37 >Issue 1: 1 - 4

DOI: https://doi.org/10.3969/j.issn.1000-1565.2017.01.001

The stability of uncertain systems analyzed via the averaging method

  • WANG Peiguang ,
  • HOU Juanjuan
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  • College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received date: 2016-03-01

  Online published: 2017-01-25

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Abstract

The main purpose of this paper is to investigate the asymptotic stability of uncertain systems via the averaging method,and some corresponding results are obtained.We provide an example to illustrate our main results.

Key words： averaging method; uncertain systems; asymptotic stability

Cite this article

WANG Peiguang , HOU Juanjuan . The stability of uncertain systems analyzed via the averaging method[J]. Journal of Hebei University(Natural Science Edition), 2017 , 37(1) : 1 -4 . DOI: 10.3969/j.issn.1000-1565.2017.01.001

References

[1] 张子方,徐道义.不确定动力系统的稳定性及其应用[D].成都:四川大学, 2004. ZHANG Z F,XU D Y.The stability of uncertain dynamical systems and applications[D].Chengdu:Sichuan University,2004.
[2] SUNDARAPANDIAN V.New results on the parametric stability of nonlinear systems[J].Mathematical and Computer Modelling,2006,43:9-15.DOI:org/10.1016/j.mcm.2005.04.010.
[3] OHTA Y,SILJAK D D.Parametric quadratic stability of uncertain nonlinear systems[J].Systems and Control Letters,1994,22:437-444.DOI:10.1016/0167-6911(94)90087-6.
[4] MARTYNYUK A A,MARTYNYUK-CHERNIENKO Y A.Uncertain dynamical systems:stability and motion control[M].Boca Raton:Taylor and Francis Group,2012.
[5] GAMA R,GUERMAN A,SMIRNOV G.On the asymptotic stability of discontinuous systems analyzed via the averaging method[J].Nonlinear Anal:TMA,2011,74:1513-1522.DOI:10.1016/j.na.2010.10.024.
[6] 葛渭高,李翠哲,王宏洲.常微分方程与边值问题[M].北京:科学出版社,2008.
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