Nonfragile Memory Sampled-Data Control for Exponential Synchronization of Complex Dynamical Networks With Time-Varying Coupling Delay

This article addresses the issue of exponential synchronization in complex dynamical networks. First, the nonfragile memory sampled-data control is used to mitigate the impact of controller uncertainties. Second, an augmented Lyapunov–Krasovskii functional (LKF) is built using a modified two-sided looped-functional that requires the positive definite only at sampling instants instead of throughout the sampling period. Moreover, the constructed LKF takes into account the whole sampling period and encompasses information on both the current states and the delayed states. Some exponential synchronization criteria are obtained by combining the Wirtinger-based integral inequality with the optimal reciprocally convex technology, and this scheme results in a larger sampling upper bound. At last, two extensively used numerical simulation examples confirm the proposed method's validity and advantage.