Title: The existence and global exponential stability of almost periodic solutions for neutral type CNNs on time scales,
Abstract: In this paper, a class of neutral type competitive neural networks with mixed
time-varying delays and leakage delays on time scales is proposed. Based on the
exponential dichotomy of linear dynamic equations on time scales, Banach's
fixed point theorem and the theory of calculus on time scales, some sufficient
conditions that are independent of the backwards graininess function of the
time scale are obtained for the existence and global exponential stability of
almost periodic solutions for this class of neural networks. The obtained
results are completely new and indicate that both the continuous time and the
discrete time cases of the networks share the same dynamical behavior. Finally,
an examples is given to show the effectiveness of the obtained results.