Response analysis of a class of quasi-linear systems with fractional derivative excited by Poisson white noise

Yongge Yang, Wei Xu, Guidong Yang, Wantao Jia

科研成果: 期刊稿件文章同行评审

6 引用 (Scopus)

摘要

The Poisson white noise, as a typical non-Gaussian excitation, has attracted much attention recently. However, little work was referred to the study of stochastic systems with fractional derivative under Poisson white noise excitation. This paper investigates the stationary response of a class of quasi-linear systems with fractional derivative excited by Poisson white noise. The equivalent stochastic system of the original stochastic system is obtained. Then, approximate stationary solutions are obtained with the help of the perturbation method. Finally, two typical examples are discussed in detail to demonstrate the effectiveness of the proposed method. The analysis also shows that the fractional order and the fractional coefficient significantly affect the responses of the stochastic systems with fractional derivative.

源语言英语
文章编号084302
期刊Chaos
26
8
DOI
出版状态已出版 - 1 8月 2016

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