Neural Computing and Applications

, Volume 24, Issue 5, pp 1047–1058

Anti-periodic solutions for HCNNs with time-varying delays in the leakage terms

Original Article

DOI: 10.1007/s00521-012-1330-6

Cite this article as:
Xu, Y. Neural Comput & Applic (2014) 24: 1047. doi:10.1007/s00521-012-1330-6


In this paper, a class of high-order cellular neural networks model is considered with the introduction of time-varying delays in the leakage terms. By using differential inequality techniques, some very verifiable and practical delay-dependent criteria on the existence and global exponential stability of anti-periodic solution for the model are derived. Even for the model without leakage delays, the criteria are shown to be less conservative than many recent publications. Moreover, some examples and remarks are given to demonstrate the feasibility of our method.


High-order cellular neural networksAnti-periodic solutionExponential stabilityTime-varying delayLeakage term

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.Department of MathematicsXiangnan CollegeChenzhouPeople’s Republic of China