Almost Automorphic Solutions to Cellular Neural Networks With Neutral Type Delays and Leakage Delays on Time Scales

被引:0
作者
Changjin Xu
Maoxin Liao
Peiluan Li
Zixin Liu
机构
[1] Guizhou University of Finance and Economics,Guizhou Key Laboratory of Economics System Simulation
[2] University of South China,School of Mathematics and Physics
[3] Henan University of Science and Technology,School of Mathematics and Statistics
[4] Guizhou University of Finance and Economics,School of Mathematics and Statistics
来源
International Journal of Computational Intelligence Systems | 2020年 / 13卷
关键词
Cellular neural networks; Almost automorphic solution; Exponential stability; Leakage delay; Neutral type delay;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, cellular neural networks (CNNs) with neutral type delays and time-varying leakage delays are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions which ensure the existence and exponential stability of almost automorphic solutions of the model are obtained. An example with its numerical simulations is given to support the theoretical findings.
引用
收藏
页码:1 / 11
页数:10
相关论文
共 135 条
  • [1] Roska T(1992)Cellular neural networks with nonlinear and delay-type templates Int. J. Circuit Theory Appl. 20 6-481
  • [2] Chua LO(2010)Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays Commun. Nonlinear Sci. Numer. Simul. 15 6-1663
  • [3] Fan QY(2012)Almost periodic solutions of shunting inhibitory cellular neural networks on time scales Commun. Nonlinear Sci. Numer. Simul. 17 6-3266
  • [4] Shao JY(2007)Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses Chaos Soliton. Fract. 34 6-1607
  • [5] Li YK(2013)Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms Neurocomputing. 111 6-33
  • [6] Wang C(1993)Shunting inhibitory cellular neural networks: derivation and stability analysis IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 40 6-221
  • [7] Xia YH(2008)Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients Chaos Soliton. Fract. 35 6-357
  • [8] Cao JD(2008)Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays Phys. Lett. A. 372 6-5016
  • [9] Huang ZK(2007)Stability and periodicity in delayed cellular neural networks with impulsive effects Nonlinear Anal. Real World Appl. 8 6-374
  • [10] Peng LQ(2013)Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays Adv. Differ. Equ. 2013 6-9