title: Second-order global consensus in multiagent networks with random directional link failure.
abstract: In this paper, we consider the second-order globally nonlinear consensus in a multiagent network with general directed topology and random interconnection failure by characterizing the behavior of stochastic dynamical system with the corresponding time-averaged system. A criterion for the second-order consensus is derived by constructing a Lyapunov function for the time-averaged network. By associating the solution of random switching nonlinear system with the constructed Lyapunov function, a sufficient condition for second-order globally nonlinear consensus in a multiagent network with random directed interconnections is also established. It is required that the second-order consensus can be achieved in the time-averaged network and the Lyapunov function decreases along the solution of the random switching nonlinear system at an infinite subsequence of the switching moments. A numerical example is presented to justify the correctness of the theoretical results.
authors.forename: Huaqing
authors.initials: H
authors.lastname: Li
authors.forename: Xiaofeng
authors.initials: X
authors.lastname: Liao
authors.forename: Tingwen
authors.initials: T
authors.lastname: Huang
authors.forename: Wei
authors.initials: W
authors.lastname: Zhu
authors.forename: Yanbing
authors.initials: Y
authors.lastname: Liu