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Paper details
Number 1 - March 2020
Volume 30 - 2020
Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays
Nina Huo, Bing Li, Yongkun Li
Abstract
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.
Keywords
Clifford-valued high-order Hopfield neural network, anti-periodic solution, coincidence degree, time-varying delay