1. Anti-periodic behavior for quaternion-valued delayed cellular neural networks
- Author
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Zhenhua Duan and Changjin Xu
- Subjects
Quaternion-valued delayed cellular neural networks ,Anti-periodic solution ,Exponential stability ,Time delay ,Mathematics ,QA1-939 - Abstract
Abstract 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.
- Published
- 2021
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