Fixed‐Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time‐Varying Delays
Baolin Qiu, Lixiang Li, Haipeng Peng, Yixian Yang · Mathematical Problems in Engineering · 2017
This paper concerns the problem of fixed/finite‐time synchronization of hybrid coupled dynamical networks. The considered dynamical networks with multilinks contain only one transmittal time‐varying delay for each subnetwork, which makes us get hold of more interesting and practical points. Two kinds of delay‐dependent feedback controllers with multilinks as well as appropriate Lyapunov functions are defined to achieve the goal of fixed‐time synchronization and finite‐time synchronization for the networks. Some novel and effective criteria of hybrid coupled networks are derived based on fixed‐time and finite‐time stability analysis. Finally, two numerical simulation examples are given to show the effectiveness of the results proposed in our paper.