Second-Order Global Consensus in Multiagent Networks With Random Directional Link Failure

作者：Li, Huaqing^*; Liao, Xiaofeng; Huang, Tingwen; Zhu, Wei; Liu, Yanbing

来源：IEEE Transactions on Neural Networks and Learning Systems, 2015, 26(3): 565-575.

DOI：10.1109/TNNLS.2014.2320274

• Global consensus
• multiagent network
• nonlinear dynamics
• random switching
• second-order consensus

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.

• 出版日期2015-3
• 单位西南大学; 重庆邮电大学