论文标题
分布式不连续的耦合，以在异质非线性系统网络中收敛
Distributed Discontinuous Coupling for Convergence in Networks of Heterogeneous Nonlinear Systems
论文作者
论文摘要
同步是许多自然和人工复杂网络系统中的关键现象。应用包括神经元网络，机器人技术中的形成控制和协调以及电力网格中的频率同步。在本文中，我们建议使用分布式不连续耦合协议来实现非相同非线性动力学系统网络中的收敛和同步。我们表明，同步动力学是解决节点矢量场平均值的解决方案，并得出了实现收敛所需的临界耦合增益的分析估计。数值模拟用于说明和验证理论结果。
Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids. In this paper, we propose the use of a distributed discontinuous coupling protocol to achieve convergence and synchronization in networks of non-identical nonlinear dynamical systems. We show that the synchronous dynamics is a solution to the average of the nodes' vector fields, and derive analytical estimates of the critical coupling gains required to achieve convergence. Numerical simulations are used to illustrate and validate the theoretical results.
