Novel results on nonfragile sampled‐data exponential synchronization for delayed complex dynamical networks
Can Zhao, Shouming Zhong, Xiaojun Zhang, Qishui Zhong, Kaibo Shi
Abstract
Summary This article investigates exponential synchronization for complex dynamical networks (CDNs) with nonfragile sampled‐data feedback control. An important yet challenging problem that contains the time delays of the controller, the uncertainties occurrence and randomness of controller gain fluctuation due to the packet loss, and time delays during data transmission is to be solved. A novel Lyapunov‐Krasovskii functional (LKF) that allows for more free matrix terms and slacks certain one of the terms to nonpositive definite is first constructed based upon special refined block matrices. By employing the novel LKF and functional analysis theory, the nonfragile sampled‐data feedback controller is developed to guarantee the exponential synchronization of CDNs and make a more optimal bound estimation of the sampled period. Finally, compared simulation examples are performed as significant to demonstrate the effective performance and the superiority of the proposed methods.