Edge Stabilizability of Multiagent Systems
研究了通过添加边改变拓扑结构实现多智能体系统边动态的可稳定性，揭示了节点与边可稳定性的关系，并分析了二阶系统中反馈系数的影响。
For some natural networks, edge dynamics are a scientific representation, and physical quantities can be better characterized by edges than nodes, such as transportation and social networks. Topology is a paramount determinant for characterizing system performance. To bridge the gaps between the topology structure and stabilizability, we propose a technique to achieve the desired independent strongly connected component (iSCC) partition by adding edges to change the topology structure. Besides, based on iSCC partition as the central tool for grasping the stabilizability of node and edge dynamics, it has been proven that the stabilizability realization of first-order multiagent systems directly depends on the topology structure. Furthermore, the relationship between node stabilizability and edge stabilizability is explored from a graph theory perspective through the transformation mechanism from a node digraph to an edge digraph. In particular, the stabilizability results of second-order multiagent systems reveal that the stabilizability of node dynamics and edge dynamics depends not only on the topology, but also on the feedback coefficients <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i><sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub>,<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i><sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub>. Ultimately, simulation experiments are provided to verify the correctness and effectiveness of the proposed control protocol.