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Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays

Huo Nina, Li Bing, Li Yongkun

International Journal of Applied Mathematics and Computer Science

2020

Vol. 30, no. 1

83--98

A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of anti-periodic solutions of the networks considered. Then, by using the proof by contradiction, we obtain the global exponential stability of the anti-periodic solutions. Finally, two numerical examples are given to illustrate the feasibility of our results.