Convergence dynamics of stochastic reaction-diffusion neural networks with impulses and memory

被引：0
|
作者：
Peng, Jun [1 ,2 ]
Liu, Zaiming [1 ]
Zhong, Meirui [2 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[2] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2015年 / 26卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Stochastic system; Impulses; Memory; Reaction-diffusion; Dirichlet boundary condition; TIME-VARYING DELAYS; EXPONENTIAL STABILITY;
D O I：
10.1007/s00521-014-1745-3
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with the problem of global stability of stochastic reaction-diffusion neural networks with impulses. The influence of diffusions, noises, delays, impulses, and Levy jumps upon the stability of the concerned system is discussed. A sufficient condition is obtained to ensure the existence, uniqueness, and exponential p-stability of the equilibrium point of the addressed stochastic reaction-diffusion neural networks with impulses by using M-matrix theory and stochastic analysis. The proposed results extend those in the earlier literature and are easier to verify.
引用
收藏
页码：651 / 657
页数：7
相关论文
共 50 条
  • [41] Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time
    Mahemuti, Rouzimaimaiti
    Kasim, Ehmet
    Sadik, Hayrengul
    MATHEMATICS, 2024, 12 (08)
  • [42] Intermittent boundary stabilization of stochastic reaction-diffusion Cohen-Grossberg neural networks
    Liu, Xiao-Zhen
    Wu, Kai-Ning
    Zhang, Weihai
    NEURAL NETWORKS, 2020, 131 : 1 - 13
  • [43] Dynamic Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays
    Pan, Jie
    Zhong, Shouming
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [44] Exponential input-to-state stability of stochastic dela reaction-diffusion neural networks
    Wu, Kai-Ning
    Ren, Meng-Zhen
    Liu, Xiao-Zhen
    NEUROCOMPUTING, 2020, 412 : 399 - 405
  • [45] Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays
    Wan, Li
    Zhou, Qinghua
    Li, Jizi
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [46] Fixed-Time Synchronization of Reaction-Diffusion Fuzzy Neural Networks with Stochastic Perturbations
    Sadik, Hayrengul
    Abdurahman, Abdujelil
    Tohti, Rukeya
    MATHEMATICS, 2023, 11 (06)
  • [47] Stability for a class of generalized reaction-diffusion uncertain stochastic neural networks with mixed delays
    Lv, Tianshi
    Gan, Qintao
    Xiao, Feng
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2019, 10 (05) : 967 - 978
  • [48] Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays
    Zhang, Weiyuan
    Li, Junmin
    Chen, Minglai
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [49] Stochastic and geometric aspects of reduced reaction-diffusion dynamics
    Cardin, Franco
    Favretti, Marco
    Lovison, Alberto
    Masci, Leonardo
    RICERCHE DI MATEMATICA, 2019, 68 (01) : 103 - 118
  • [50] Dynamics of Reaction-Diffusion Interfaces Under Stochastic Convection
    Careta, A.
    Sancho, J. M.
    Sagues, F.
    International Journal of Bifurcations and Chaos in Applied Sciences and Engineering, 1994, 415 (05):
12345