Finite time stability of periodic solution for Hopfield neural networks with discontinuous activations

Authors:
Xiaoyan Chen;Lihong Huang;Zhenyuan Guo
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China and Hunan Women's University, Changsha, Hunan 410004, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China
Venue:
Neurocomputing
Year:
2013

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Abstract

Based on the tangency or non-tangency of the periodic solution to certain surface, this paper gives a set of conditions ensuring global convergence in finite time toward a unique periodic solution for Hopfield neural networks with discontinuous activations. Moreover, two numerical examples are provided to illustrate the theoretical results.