Global exponential stability of periodic solution for shunting inhibitory CNNs with delays

By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence and stability of periodic solution for shunting inhibitory cellular neural networks (SICNNs) with delays x˙ij(t)=−aij(t)xij(t)−∑Bkl∈Nr(i,j)Bijkl(t)fij(xkl(t))xij(t)−∑Ckl∈Nr(i,j)Cijkl(t)gij(xkl(t−τkl))xij(t)+Lij(t).