Stability analysis of spatially and temporally complex dynamical networks with time-varying delays

This paper proposes a new complex dynamical network model, in which the state and input variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several sufficient conditions ensuring the existence, uniqueness of periodic solution and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.