EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY
Hui Wang, Chuandong Li, Hongbing Xu · International Journal of Bifurcation and Chaos · 2009
This paper investigates the global periodicity of cellular neural network with impulses and leakage delay (i.e. with delay state feedback instead of instantaneous state feedback). Several conditions guaranteeing the existence, uniqueness, and global exponential stability of periodic solution are derived by using the continuation theorem of coincidence degree theory and a suitable degenerate Lyapuniv—Krasvovskii functional together with model transformation technique.