title: H ∞ cluster synchronization for a class of neutral complex dynamical networks with Markovian switching.
abstract: H ∞ cluster synchronization problem for a class of neutral complex dynamical networks (NCDNs) with Markovian switching is investigated in this paper. Both the retarded and neutral delays are considered to be interval mode dependent and time varying. The concept of H ∞ cluster synchronization is proposed to quantify the attenuation level of synchronization error dynamics against the exogenous disturbance of the NCDNs. Based on a novel Lyapunov functional, by employing some integral inequalities and the nature of convex combination, mode delay-range-dependent H ∞ cluster synchronization criteria are derived in the form of linear matrix inequalities which depend not only on the disturbance attenuation but also on the initial values of the NCDNs. Finally, numerical examples are given to demonstrate the feasibility and effectiveness of the proposed theoretical results.
authors.affiliation: Department of Auto, School of Information Science and Technology, University of Science and Technology of China, Anhui 230027, China.
authors.forename: Xinghua
authors.identifier: 0000-0002-2761-7006
authors.initials: X
authors.lastname: Liu
mesh_terms: D008390:Markov Chains; D008962:Models, Theoretical