New synchronization criteria for complex delayed dynamical networks with sampled-data feedback control

- A newly augmented Lyapunov-Krasovskii functional is constructed, which contains two new triple integral terms to reduce the conservativeness.
- Less conservative synchronization criteria are obtained by combining reciprocally convex technique with a novel class of integral inequalities, which can provide more tighter bounds than what the existing inequalities produce.
- The desired sampled-data controllers can be achieved by solving a set of linear matrix inequalities.

This paper investigates the synchronization problem for a class of complex delayed dynamical networks (CDDNs) by using sampled-data feedback control. First, an augmented Lyapunov-Krasovskii function (LKF) is constructed, which contains two new triple integral terms to reduce the conservativeness. Second, improved synchronization criteria are proposed by combining reciprocally convex technique with a novel class of integral inequalities, which can provide much tighter bounds than what the existing integral inequalities can produce. Third, the desired sampled-data controllers can be achieved by solving a set of linear matrix inequalities (LMIs). Finally, three numerical simulation examples are presented to demonstrate the effectiveness and advantages of the proposed results.