title: Pinning synchronization of fractional-order complex networks with Lipschitz-type nonlinear dynamics.
abstract: This paper deals with pinning synchronization problem of fractional-order complex networks with Lipschitz-type nonlinear nodes and directed communication topology. We first reformulate the problem as a global asymptotic stability problem by describing network evolution in terms of error dynamics. Then, a novel frequency domain approach is developed by using Laplace transform, algebraic graph theory and generalized Gronwall inequality. We show that pinning synchronization can be ensured if the extended network topology contains a spanning tree and the coupling strength is large enough. Furthermore, we provide an easily testable criterion for global pinning synchronization depending on fractional-order, network topology, oscillator dynamics and state feedback. Numerical simulations are provided to illustrate the effectiveness of the theoretical analysis.
authors.affiliation: Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou, China. Electronic address: wangjwlj@gmail.com.
authors.forename: Junwei
authors.initials: J
authors.lastname: Wang
authors.affiliation: Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou, China.
authors.forename: Qinghua
authors.initials: Q
authors.lastname: Ma
authors.affiliation: Institute of Applied Mathematics, Henan University, Kaifeng, China; School of Mathematics and Information Science, Henan University, Kaifeng, China.
authors.forename: Aimin
authors.initials: A
authors.lastname: Chen
authors.affiliation: Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou, China.
authors.forename: Zhipeng
authors.initials: Z
authors.lastname: Liang
keywords: Complex network; Fractional-order derivative; Graph theory; Pinning control; Synchronization