论文标题
通过相分析同步不同的代理
Synchronization of Diverse Agents via Phase Analysis
论文作者
论文摘要
在本文中，研究了通过动态网络相互作用的异质剂的同步。边缘动力学可以对本质上通常是异质的通信进行建模。它们还可以对代理的控制器进行建模，这些控制器可能对每种代理或所有代理的均匀均不同。从阶段的角度利用最近开发的小相定理，从两种情况下获得了新的同步条件。条件随网络的规模良好，并揭示了节点动力学和边缘动力学的阶段之间的权衡。我们还研究了同步性问题，旨在表征可以设计控制器以实现同步的代理的允许多样性。允许多样性是根据相位条件捕获的，使代理在其持续模式下的残留矩阵。控制器设计算法分别为代理依赖性和统一控制器的情况提供。
In this paper, the synchronization of heterogeneous agents interacting over a dynamical network is studied. The edge dynamics can model the inter-agent communications which are often heterogeneous by nature. They can also model the controllers of the agents which may be different for each agent or uniform for all the agents. Novel synchronization conditions are obtained for both cases from a phase perspective by exploiting a recently developed small phase theorem. The conditions scale well with the network and reveal the trade-off between the phases of node dynamics and edge dynamics. We also study the synchronizability problem which aims to characterize the allowable diversity of the agents for which controllers can be designed so as to achieve synchronization. The allowable diversity is captured in terms of phase conditions engaging the residue matrices of the agents at their persistent modes. Controller design algorithms are provided for the cases of agent-dependent and uniform controllers, respectively.
