Klickstein Isaac, Pecora Louis, Sorrentino Francesco
Department of Mechanical Engineering, University of New Mexico, Albuquerque, New Mexico 87106, USA.
U.S. Naval Research Laboratory, Washington, DC 20375, USA.
Chaos. 2019 Jul;29(7):073101. doi: 10.1063/1.5098335.
There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept of group consensus whereby subsets of nodes are chosen to reach a common final state distinct from others has been developed, but the methods tend to be independent of the underlying network topology. Here, an alternative type of group consensus is achieved for which nodes that are "symmetric" achieve a common final state. The dynamic behavior may be distinct between nodes that are not symmetric. We show how group consensus for heterogeneous linear agents can be achieved via a simple coupling protocol that exploits the topology of the network. We see that group consensus is possible on both stable and unstable trajectories. We observe and characterize the phenomenon of "isolated group consensus," where one or more clusters may achieve group consensus while the other clusters do not.
尽管存在许多现实世界中的复杂网络，对于它们来说完全达成共识可能并不理想，但已有大量工作研究存在单一共同最终状态的共识问题。最近，已经提出了群体共识的概念，即选择节点子集以达成与其他子集不同的共同最终状态，但这些方法往往与底层网络拓扑无关。在此，实现了一种另类的群体共识，即“对称”节点达成共同的最终状态。非对称节点之间的动态行为可能不同。我们展示了如何通过利用网络拓扑的简单耦合协议来实现异构线性智能体的群体共识。我们发现，在稳定和不稳定轨迹上都可以实现群体共识。我们观察并刻画了“孤立群体共识”现象，即一个或多个集群可能达成群体共识，而其他集群则不然。
