Extended dissipative synchronization of complex dynamical networks with additive time-varying delay and discrete-time information

The problem of extended dissipativity analysis of complex dynamical networks with additive time-varying delays and discrete time information is considered in this article. By utilizing the Lyapunov functional method, Jensen's inequality and free-weighting matrix analysis techniques, we established sufficient criterion such that the complex dynamical networks is synchronized. Further, the extended dissipativity analysis problem which contains H∞ performance, passivity performance and L2−L∞ performance in a unified framework is studied. The derived criteria are expressed in terms of linear matrix inequalities that can be easily checked by using the standard numerical softwares. Illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed results.