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

Advances in Difference Equations

Zhenhua Duan¹  Changjin Xu² 

[1] Department of Basic Sciences, Guangzhou Railway Polytechnic, 510430, Guangzhou, Guangdong, P.R. China;Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, 550004, Guiyang, P.R. China;

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

DOI  :  10.1186/s13662-021-03327-7

来源: Springer

【 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.

【 授权许可】

CC BY