title: Output synchronization of discrete-time dynamical networks based on geometrically incremental dissipativity.
abstract: In this work, we investigate the output synchronization problem for discrete-time dynamical networks with identical nodes. Firstly, if each node of a network is geometrically incrementally dissipative, the entire network can be viewed as a geometrically dissipative nonlinear system by choosing a particular input-output pair. Then, based on the geometrical dissipativity property, we consider two cases: output synchronization under arbitrary topology and switching topology, respectively. For the first case, we establish several criteria of output synchronization under arbitrary switching between a set of connection topologies by employing a common Lyapunov function. For the other case, we give the design method of a switching signal to achieve output synchronization even if all subnetworks are not synchronous. Finally, an example is provided to illustrate the effectiveness of the main results.
authors.affiliation: (a)College of mathematics, Inner Mongolia University for Nationalities, Tongliao, PR China. Electronic address: tllcs2005@163.com.
authors.forename: Chensong
authors.initials: C
authors.lastname: Li
authors.affiliation: (b)College of Information Science and Engineering, Northeastern University, Shenyang, PR China. Electronic address: zhaojun@mail.neu.edu.cn.
authors.forename: Jun
authors.initials: J
authors.lastname: Zhao
keywords: Discrete-time dynamical networks; Geometrically incremental dissipativity; Output synchronization