Improved on Extended Dissipative Analysis for Sampled-Data Synchronization of Complex Dynamical Networks With Coupling Delays

Abstract

This paper concerns the issue of extended dissipative analysis for complex dynamical networks with coupling delays under a sampled-data control scheme. Firstly, we derive the input delay method and combine it with an appropriate Lyapunov functional, which can make full use of the information of the sampling period. Secondly, novel sufficient synchronization criteria are established by applying Jensen’s inequality, Wirtinger’s integral inequality, a new integral inequality, free-weighting matrix technique, and convex combination method. Moreover, we focus on the extended dissipative analysis issue, which includes $\mathcal {L}_{2}-\mathcal {L}_{\infty} $ , $\mathcal {H}_{\infty} $ , passivity, and dissipativity performance in a unified formulation. These conditions can express in Linear matrix inequalities (LMIs) restrictions, which can solve with readily accessible software. Finally, two numerical examples illustrate the effectiveness and reduced conservatism of our developed method.

Keywords

• Extended dissipative
• sampled-data control
• synchronization
• complex dynamical networks
• coupling delays