Anti-periodic behavior for quaternion-valued delayed cellular neural networks

[摘要] In this manuscript, quaternion-valued delayed cellular neural networks are studied. Applying the continuation theorem of coincidence degree theory, inequality techniques and a Lyapunov function approach, a new sufficient condition that guarantees the existence and exponential stability of anti-periodic solutions for quaternion-valued delayed cellular neural networks is presented. The obtained results supplement some earlier publications that deal with the anti-periodic solutions of quaternion-valued neural networks with distributed delay or impulse or state-dependent delay or inertial term. Computer simulations are displayed to check the derived analytical results.

[学科分类] 航空航天科学

[关键词] Quaternion-valued delayed cellular neural networks;Anti-periodic solution;Exponential stability;Time delay