Real networks exhibit heterogeneous nature with nodes playing far different roles in
structure and function. To identify vital nodes is thus very significant, allowing us to control …

Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

The availability of large data sets has allowed researchers to uncover complex properties
such as large-scale fluctuations and heterogeneities in many networks, leading to the …

The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

We describe a framework for the design of collective behaviors for groups of identical mobile
agents. The approach is based on decentralized simultaneous estimation and control …

In this paper, we study the synchronization problem for complex dynamical networks with
switching topology from a switched system point of view. The synchronization problem is …

Synchronization, in which individual dynamical units keep in pace with each other in a
decentralized fashion, depends both on the dynamical units and on the properties of the …

We derive a master stability function (MSF) for synchronization in networks of coupled
dynamical systems with small but arbitrary parametric variations. Analogous to the MSF for …

In this Letter, the consensus problem via distributed nonlinear protocols for directed
networks is investigated. Its dynamical behaviors are described by ordinary differential …

This paper studies the local and global exponential synchronization of a complex dynamical
network with switching topology and time-varying coupling delays. By using stability theory …