Affiliations: [a] School of Science, Yanshan University, Qinhuangdao, China
| [b] School of Mathematics, Southeast University, Nanjing, China
Correspondence:
[*]
Correspondence to: Jie Liu, Yanshan University, Qinhuangdao, 066001, China. E-mail: jieliu-123@stumail.ysu.edu.cn.
Abstract: In this paper, the global robust synchronization in fixed time is discussed for discontinuous complex dynamical networks (CDNs) with uncertain disturbances based on event-triggered states-feedback control schemes. Several new hybrid controllers, which include event-triggered controller and discontinuous state-feedback controller, are designed to realize the global robust synchronization goal. By applying Lyapunov functional method, the common theorem with respect to the stability in fixed time for nonlinear systems, and inequality analysis technique, some sufficient synchronization criteria are addressed in terms of linear matrix inequalities (LMIs). In addition, the upper bound of the settling time, which is independent on initial conditions, can be determined to any desired values in advance on the basis of the configuration of parameters in the proposed control law. Finally, three examples are provided to illustrate the validity of the proposed design method and theoretical results.
Keywords: Complex dynamical networks, synchronization in fixed time, event-triggered control, discontinuous nodes, linear matrix
inequality
