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This paper discusses the cluster synchronization problem of complex dynamical networks consisted of Lur'e systems. Since the special topology structure of the complex network and the existence of stochastic phenomena, a kind of randomly occurring pinning controller is designed which not only synchronizes all Lur'e systems in the same cluster but also decreases the influence among different clusters...
The recognition of system parameters in uncertain complex dynamical networks with stochastic disturbance and time-varying delay is investigated in this note. By constructing a slave network and designing feedback controllers, the outer synchronization between two networks is achieved according to the Itô differential formula, LaSalle'e invariance principle. Meanwhile, the unknown system parameters...
This paper considers synchronization problem of a complex dynamical network. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the...
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