Pseudo almost automorphic solutions of quaternion-valued neural networks with infinitely distributed delays via a non-decomposing method

被引：0
作者：
Jianglian Xiang
Yongkun Li
机构：
[1] Yunnan University,Department of Mathematics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Pseudo almost automorphic solution; Global exponential stability; Quaternion-valued neural networks;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the existence and global exponential stability of pseudo almost automorphic solutions to quaternion-valued cellular neural networks with infinitely distributed delays. Unlike most previous studies of quaternion-valued cellular neural networks, we do not decompose the systems under consideration into real-valued or complex-valued systems, but rather directly study quaternion-valued systems. Our method and the results of this paper are new. An example is given to show the feasibility of our main results.
引用
收藏
相关论文
共 67 条
  • [1] Adler S.(1986)Quaternionic quantum field theory Commun. Math. Phys. 104 611-656
  • [2] Leo S.(2012)Delay time in quaternionic quantum mechanics J. Math. Phys. 53 5411-5426
  • [3] Ducati G.(2002)Quaternionic potentials in non-relativistic quantum mechanics J. Phys. A, Math. Gen. 35 17-28
  • [4] Leo S.(2010)An alternative derivation of the quaternion equations of motion for rigid-body rotational dynamics J. Appl. Mech. 77 1969-1983
  • [5] Ducati G.(2002)A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equation Physica D 166 2769-2781
  • [6] Nishi C.(2006)Quaternions and particle dynamics in the Euler fluid equations Nonlinearity 19 202-212
  • [7] Udwadia F.(2018)Stability analysis of continuous-time and discrete-time quaternion-valued neural networks with linear threshold neurons IEEE Trans. Neural Netw. Learn. Syst. 29 91-103
  • [8] Schttle A.(2017)Global Neurocomputing 247 1-18
  • [9] Gibbon J.(2018)-stability of quaternion-valued neural networks with non-differentiable time-varying delays Neurocomputing 292 5-23
  • [10] Gibbon J.(2018)Existence and global exponential stability of periodic solutions for quaternion-valued cellular neural networks with time-varying delays Neural Netw. 99 55-65
1234567