Existence and Global Exponential Stability of Periodic Solution of Cellular Neural Networks With Impulses and Leakage Delay

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.