Novel Sufficient Conditions on Periodic Solutions for Discrete-Time Neutral-Type Neural Networks

摘要

In this paper, we consider the existence and global exponential stability of periodic solutions for a class of delayed discrete-time neutral-type neural networks. Novel sufficient conditions to guarantee the existence and global exponential stability of periodic solutions are established for above discrete-time neutral-type neural networks by combining Mawhin’s continuation theorem of coincidence degree theory with graph theory as well as Lyapunov sequence method. Our results on the existence and global exponential stability of periodic solutions are more concise and easily verified than those obtained in Du et al. (J Frankl Inst 353:448–461, 2016).