Stochastic stability of four-wheel-steering system

被引：6
|
作者：
Huang, Dong-Wei
Wang, Hong-Li
Zhu, Zhi-Wen
Feng-Zhang
机构：
[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300160, Peoples R China
[2] Tianjin Univ, Coll Mech Engn, Tianjin 300072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 03期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2006.06.055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A four-wheel-steering system subjected to white noise excitations was reduced to a two-degree-of-freedom quasi-non-integrable-Hamiltonian system. Subsequently we obtained an one-dimensional Ito stochastic differential equation for the averaged Hamiltonian of the system by using the stochastic averaging method for quasi-non-integrable-Hamiltonian systems. Thus, the stochastic stability of four-wheel-steering system was analyzed by analyzing the sample behaviors of the averaged Hamiltonian at the boundary H = 0 and calculating its Lyapunov exponent. An example given at the end demonstrated that the conclusion obtained is of considerable significance. (c) 2006 Published by Elsevier Ltd.
引用
收藏
页码：823 / 828
页数：6
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