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群制御arXiv:2210.00037

ロボット群のための接続性を考慮した局所トポロジー操作の完全集合

A Complete Set of Connectivity-aware Local Topology Manipulation Operations for Robot Swarms

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ロボット群のネットワークトポロジーを、隣接情報のみを用いた局所操作で任意の木構造から別の木構造へ変換できる完全な操作集合を証明し、その応用例を示した。

著者: Koresh Khateri, Karthik Soma, Mahdi Pourgholi, Mohsen Montazeri, Lorenzo Sabattini, Giovanni Beltrame

分類: cs.RO

原文アブストラクト

The topology of a robotic swarm affects the convergence speed of consensus and the mobility of the robots. In this paper, we prove the existence of a complete set of local topology manipulation operations that allow the transformation of a swarm topology. The set is complete in the sense that any other possible set of manipulation operations can be performed by a sequence of operations from our set. The operations are local as they depend only on the first and second hop neighbors' information to transform any initial spanning tree of the network's graph to any other connected tree with the same number of nodes. The flexibility provided by our method is similar to global methods that require full knowledge of the swarm network. We prove the existence of a sequence of transformations for any tree-to-tree transformation, and derive sequences of operations to form a line or star from any initial spanning tree. Our work provides a theoretical and practical framework for topological control of a swarm, establishing global properties using only local information.

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