Extended dissipative exponential synchronization of complex dynamical systems with coupling delay and sampled-data control

In this paper, by proposing a sampled-data feedback control scheme, we investigate the sampled-data control problem for exponential synchronization of complex dynamical systems with coupling delay. Through constructing a novel Lyapunov functional, which takes a full consideration of the information of t−tk and tk+1−t, ∀t∈[tk,tk+1), a new sufficient synchronization criterion is obtained based on the Lyapunov stability theory. Further, we consider the extended dissipativity analysis problem, which contains the H∞ performance, passivity performance, dissipativity performance and L2−L∞ performance in a unified framework, and a sufficient condition in terms of strict LMIs is derived. Finally, simulation examples are employed to demonstrate the effectiveness and the reduced conservatism of the proposed method.