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.
引用
收藏
页数：23
相关论文
共 50 条
  • [31] Stochastic Sampled-Data Control for Exponential Synchronization of Markovian Jumping Complex Dynamical Networks with Mode-Dependent Time-Varying Coupling Delay
    R. Rakkiyappan
    N. Sakthivel
    Circuits, Systems, and Signal Processing, 2015, 34 : 153 - 183
  • [32] Stochastic Sampled-Data Control for Exponential Synchronization of Markovian Jumping Complex Dynamical Networks with Mode-Dependent Time-Varying Coupling Delay
    Rakkiyappan, R.
    Sakthivel, N.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (01) : 153 - 183
  • [33] Robust Asymptotic Stability of Markovian Jumping Genetic Regulatory Networks with Time-Varying Delays
    Yang, Xiaodong
    Lin, Xiaoxia
    Xu, Yuyin
    ELECTRONIC INFORMATION AND ELECTRICAL ENGINEERING, 2012, 19 : 180 - 183
  • [34] Finite-Time Stability of Stochastic Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays
    Arslan, Emel
    Ali, M. Syed
    Saravanan, S.
    NEURAL PROCESSING LETTERS, 2017, 46 (01) : 71 - 81
  • [35] Synchronization for stochastic Levy noise systems on a time-varying multi-weights network via delay intermittent control
    Zhou, Hui
    Jiang, Qiguang
    Li, Wenxue
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2022, 108
  • [36] Reliable filter design for discrete-time neural networks with Markovian jumping parameters and time-varying delay
    Xia, Weifeng
    Xu, Shengyuan
    Lu, Junwei
    Zhang, Zhengqiang
    Chu, Yuming
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (05): : 2892 - 2915
  • [37] Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay
    Qi, Wenhai
    Kao, Yonggui
    Gao, Xianwen
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (14) : 2967 - 2975
  • [38] Aperiodically intermittent synchronization of Markovian jump stochastic complex networks with time-varying delays
    Guo, Beibei
    Xiao, Yu
    Zhang, Chiping
    APPLICABLE ANALYSIS, 2020, 99 (13) : 2280 - 2306
  • [39] Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time-varying delay
    Wu, Tao
    Xiong, Lianglin
    Shu, Jinlong
    2018 5TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE 2018), 2018, : 884 - 889
  • [40] Stochastic stability of discrete-time uncertain recurrent neural networks with Markovian jumping and time-varying delays
    Ali, M. Syed
    Marudai, M.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 1979 - 1988
12345