Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument

Figure 1

(a) The simulation, where the initial value is chosen as (1,3)^𝑇, illustrates that all trajectories uniformly converge to the unique equilibrium 𝑥^∗=(1.943,1.57)^𝑇 for the ICNNs (57) with impulsive effects. (b) The simulation, where the initial value is chosen as (1,3)^𝑇, illustrates that all trajectories uniformly converge to the unique equilibrium 𝑥^∗=(1.943,1.57)^𝑇 for the ICNNs (57) without impulsive effects.

(a)

(b)