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首页> 外文期刊>Neural Networks and Learning Systems, IEEE Transactions on >Second-Order Global Consensus in Multiagent Networks With Random Directional Link Failure
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Second-Order Global Consensus in Multiagent Networks With Random Directional Link Failure

机译：随机定向链路故障的多主体网络中的二阶全局共识

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摘要

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.
机译：在本文中，我们通过描述具有相应时间平均系统的随机动力系统的行为，考虑了具有通用定向拓扑和随机互连故障的多主体网络中的二阶全局非线性共识。通过为时间平均网络构造Lyapunov函数，得出二阶共识的标准。通过将随机切换非线性系统的解与构造的Lyapunov函数相关联，还建立了具有随机定向互连的多智能体网络中二阶全局非线性共识的充分条件。需要在时间平均网络中实现二阶共识，并且在切换力矩的无限次序列上，随着随机切换非线性系统的解，Lyapunov函数会减小。数值例子说明了理论结果的正确性。

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