title: Synchronization of fractional-order linear complex networks.
abstract: In this paper, we concentrate on the synchronization problem of fractional-order complex networks with general linear dynamics under connected topology. By introducing a pseudo-state transformation, the problem is converted into an equivalent simultaneous stabilization problem of independent subsystems, which is characterized by nonzero eigenvalues of the Laplacian matrix. Then, sufficient conditions in terms of linear matrix inequalities (LMIs) for synchronization are established, which can be easily solved by efficient convex optimization algorithms. Finally, three examples are provided to illustrate the effectiveness of the proposed method.
authors.affiliation: Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou 510006, China. Electronic address: wangjwlj@gmail.com.
authors.forename: Junwei
authors.initials: J
authors.lastname: Wang
authors.affiliation: School of Sciences, South China University of Technology, Guangzhou 510640, China.
authors.forename: Caibin
authors.initials: C
authors.lastname: Zeng
keywords: Complex network; Fractional-order derivative; Pseudo-state transformation; Simultaneous stabilization; Synchronization