Triple Lyapunov functional technique on delay-dependent stability for discrete-time dynamical networks

In this letter, through constructing some novel triple Lyapunov–Krasovskii functional (LKF) terms, two novel sufficient conditions are established to guarantee a class of discrete-time delayed dynamical networks to be asymptotically stable, in which the information of time-delay can be fully utilized. Through employing the reciprocal convex technique, some previously ignored terms can be reconsidered when estimating the time difference of LKF and the criteria can be presented via linear matrix inequalities (LMIs), whose solvability heavily depends on the information of addressed systems. Finally, two numerical examples will be provided to show that the achieved conditions can be less conservative than some existing results.