Asymptotic Stability for Stochastic Dissipative Systems with a Hölder Noise.

Luu Hoang Duc,Phan Thanh Hong,Nguyen Dinh Cong

SIAM JOURNAL ON CONTROL AND OPTIMIZATION（2019）

引用 16|浏览4

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摘要

We prove the exponential stability of the zero solution of a stochastic differential equation with a Holder noise, under the strong dissipativity assumption. As a result, we also prove that there exists a random pullback attractor for a stochastic system under a multiplicative fractional Brownian noise.

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关键词

fractional Brownian motion,stochastic differential equations,Young integral,exponential stability,random attractor

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