Synchronization analysis of network systems applying sampled-data controller with time-delay via the Bessel-Legendre inequality

摘要

In this paper, taking advantage of aperiodic sampled data control technique, the synchronization issue of network systems is brought into focus. During the transmission of sampled data, time-varying delays are concerned. Applying input delay method, the sampled data network systems can be rebuilt via continuous systems with another new delay term in the distributed controller. Unlike the utilization of Jensen and Wirtinger-based inequalities in most literature, the Bessel-Legendre integral inequality is introduced, which can relax conservative further. The characteristics of this integral inequality are adequately merged with the establishment of augmented Lyapunov functional. Two sufficient conditions for synchronizability of network systems are established. In the end, a simulation example is illustrated to verify the efficacy and advantage of the designed approach. (C) 2018 Elsevier B.V. All rights reserved.