Finite‐time synchronization of complex networks with hybrid‐coupled time‐varying delay via event‐triggered aperiodically intermittent pinning control

• Published in: Mathematical methods in the applied sciences
• Main Authors: Liu, Huawei, Chen, Xiangyong, Qiu, Jianlong, Zhao, Feng
• Format: Journal Article
• Language: English
• Published: 04.11.2021
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.7907

This paper considers the finite‐time synchronization problem of complex networks with hybrid‐coupled time‐varying delay. We combine aperiodically intermittent pinning control method and event‐triggered control method to design the controller, which can guarantee that the states of all nodes can realize synchronization in the finite‐time. The event‐triggered mechanism is introduced according to the difference of error values between nodes and reduces the communication frequency. Besides, the pinning nodes are reselected at each triggered moment by a given algorithm. Based on the appropriate inequality scaling technique and Lyapunov function, the finite‐time synchronization criteria are obtained for the given network system model. Finally, the feasibility of the theoretical results is proved through a simulation example.