Stability for Markovian switching stochastic neural networks with infinite delay driven by Lévy noise

被引：0
作者：
Imzegouan C. [1 ]
机构：
[1] ISTI Lab, ENSA, PO Box 1136, Agadir
来源：
Intl. J. Dyn. Cont. | / 2卷 / 547-556期
关键词：
Infinite delay; Lyapunov function; Lévy noise; Markov chain; Neural networks; Stochastic stability;
D O I：
10.1007/s40435-018-0451-x
中图分类号：
学科分类号：
摘要：
This paper is concerned with stability analysis for a kind of Markovian switching stochastic neutral networks with infinite delay driven by Lévy noise. Existence, uniqueness, stochastic stability and global stochastic stability are established under some new conditions basing on Lyapunov method, stochastic analysis technique and M-matrix theory. Our results generalizes some existing ones. Two numerical examples are provided to illustrate the usefulness of the theoretical theorems. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
引用
收藏
页码：547 / 556
页数：9
相关论文
共 18 条
  • [1] Cancelliere R., Slavova A., Dynamics and stability of generalized cellular nonlinear network model, Appl Math Comput, 165, pp. 127-136, (2005)
  • [2] Hopfield J.J., Neural networks and physical systems with emergent collect computational abilities, Proc Natl Acad Sci USA, 79, 2, pp. 2554-2558, (1982)
  • [3] Li H., Chen B., Zhou Q., Fang S., Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays, Phys Lett A, 372, pp. 3385-3394, (2008)
  • [4] Song Q., Wang Z., Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays, Phys A, 387, pp. 3314-3326, (2008)
  • [5] Zhou W., Yang J., Zhou L., Tong D., Stability and synchronization control of stochastic neural networks, (2016)
  • [6] Yang J., Zhou W., Shi P., Yang X., Zhou X., Su H., Adaptive synchronization of delayed Markovian switching neural networks with Lévy noise, Neurocomputing, 156, C, pp. 231-238, (2015)
  • [7] Yang J., Zhou W., Shi P., Yang X., Zhou X., Su H., Synchronization of delayed neural networks with Lévy noise and Markovian switching via sampled data, Nonlinear Dyn, 81, 3, pp. 1179-1189, (2015)
  • [8] Peng J., Liu Z., Stability analysis of stochastic reaction-diffusion delayed neural networks with Lévy noise, Neural Comput Appl, 20, 4, pp. 535-541, (2011)
  • [9] Zhou L., Wang Z., Zhou J., Zhou W., Mean square synchronization of neural networks with Lévy noise via sampled-data and actuator saturating controller, Neurocomputing, 173, P3, pp. 1235-1244, (2016)
  • [10] Zhang C., Li W., Wang K., Graph theory-based approach for stability analysis of stochastic coupled systems with Lévy noise on networks, IEEE Trans Neural Netw Learn Syst, 26, 8, pp. 1698-1709, (2015)
12