Anti-periodic dynamics on high-order inertial Hopfield neural networks involving time-varying delays

• Main Authors: Qian Cao, Xiaojin Guo
• Format: Article
• Language: English
• Published: AIMS Press 2020-07-01
• Series: AIMS Mathematics
• Subjects: high-order inertial neural networks; anti-periodic solution; global exponential stability; time-varying delay
• Online Access: https://www.aimspress.com/article/10.3934/math.2020347/fulltext.html

Taking into accounting time-varying delays and anti-periodic environments, this paper deals with the global convergence dynamics on a class of anti-periodic high-order inertial Hopfield neural networks. First of all, with the help of Lyapunov function method, we prove that the global solutions are exponentially attractive to each other. Secondly, by using analytical techniques in uniform convergence functions sequence, the existence of the anti-periodic solution and its global exponential stability are established. Finally, two examples are arranged to illustrate the effectiveness and feasibility of the obtained results.