Almost Automorphic Solutions to Cellular Neural Networks With Neutral Type Delays and Leakage Delays on Time Scales
- https://doi.org/10.2991/ijcis.d.200107.001How to use a DOI?
- Cellular neural networks, Almost automorphic solution, Exponential stability, Leakage delay, Neutral type delay
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.
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Changjin Xu AU - Maoxin Liao AU - Peiluan Li AU - Zixin Liu PY - 2020 DA - 2020/01 TI - Almost Automorphic Solutions to Cellular Neural Networks With Neutral Type Delays and Leakage Delays on Time Scales JO - International Journal of Computational Intelligence Systems SP - 1 EP - 11 VL - 13 IS - 1 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.d.200107.001 DO - https://doi.org/10.2991/ijcis.d.200107.001 ID - Xu2020 ER -