Stochastic stability of four-wheel-steering system

Dong-Wei Huang, Hong-Li Wang, Zhi-Wen Zhu and Feng-Zhang,

Chaos, Solitons & Fractals, 2007, vol. 33, issue 3, 823-828

Abstract: 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 Itô 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:3:p:823-828

DOI: 10.1016/j.chaos.2006.06.055

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