Stochastic stability for nonlinear systems driven by Levy noise

被引：47

作者：

Xu, Yong ^{[1
]}

Wang, Xi-Ying ^{[1
]}

Zhang, Hui-Qing ^{[1
]}

Xu, Wei ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

来源：

NONLINEAR DYNAMICS | 2012年 / 68卷 / 1-2期

关键词：

Stochastic stability; The equivalent linearization; Stochastic differential equations (SDEs); Lyapunov exponents; Levy process; DIFFERENTIAL-EQUATIONS DRIVEN; POISSON WHITE-NOISE; DYNAMICAL-SYSTEMS; EXCITATION;

D O I：

10.1007/s11071-011-0199-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper is to investigate the stochastic stability for nonlinear systems with Levy process based on Lyapunov exponents. A method of equivalent linearization is proposed to reduce and simplify the original systems. And the mean square responses are carried out to verify the effectiveness of the proposed approach. Then the Lyapunov exponents will be defined and derived to explore the stochastic stability, and two examples are presented to demonstrate the procedure of equivalent linearization and stochastic stability is considered for these two special examples. The results show that the technique of equivalent linearization can be used to study nonlinear systems excited by Levy noise.

引用

页码：7 / 15

页数：9

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