Robust synchronization of a uncertain complex dynamical network with Markovian jumping topology via pinning sampled-data control

摘要

In this paper, the robust synchronization problem of a uncertain complex dynamical network with Markovian jumping topology via pinning sampled-data control is investigated. In order to make full use of the sawtooth structure characteristic of the sampling input delay, a discontinuous Lyapunov functional is used based on the Extended Wirtinger Inequality. By utilizing Finsler's lemma, a new stability condition is obtained in terms of linear matrix inequalities (LMIs) for the synchronization.