Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Levy noise

被引：0
|
作者：
Ma, Shuo [1 ]
Kang, Yanmei [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic genetic oscillator networks; Markovian jumping; Time-varying delay; Levy noise; Finite-time synchronization; EXPONENTIAL SYNCHRONIZATION; REGULATORY NETWORKS; NEURAL-NETWORKS; STABILITY;
D O I：
10.1186/s13662-019-2285-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Levy noise. At first, we generalize the finite-time stability theorem from the systems driven by Brownian motion to the Markovian jumping systems with Levy noise. And then, we utilize the stochastic Lyapunov functional method and appropriate control to obtain sufficient conditions for finite-time synchronization. Finally, two numerical examples are presented to verify the effectiveness of the proposed criteria.
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收藏
页数：23
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