Non-fragile quasi-synchronization of delayed heterogeneous dynamical networks with memory sampled-data control

This paper investigates the quasi-synchronization problem for a class of heterogeneous dynamical networks based on a non-fragile memory sampled-data controller. Considering the effect of controller gain fluctuation and communication delay, a sampled-data control scheme with norm-bounded uncertainty and a constant signal transmission delay is designed. By introducing a leader, the heterogeneous complex delayed networks can be transformed into the corresponding error systems with bounded disturbances. A sufficient criterion to ensure that the error system can be exponentially stable and converge to a bounded region is established by the Lyapunov-Krasovskii function approach. Based on the criterion, the sampled-data control gain matrix is designed. Finally, the numerical examples are presented to illustrate the effectiveness of the theoretical results in this paper.