Distributed set protection with complex adjacency matrices

Youcheng Lou, Yiguang Hong
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Abstract

In this paper, we consider the distributed protection of a target region by a group of agents with switching interconnection topologies. We propose a distributed controller to achieve the distributed set projection with the same distance and different rotation angles specified by a complex-value adjacency matrix. With mild connectivity assumptions, we prove that all agents can protect/surround a target described by a convex set in a plane.
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具有复邻接矩阵的分布集保护
在本文中,我们考虑了一组具有交换互连拓扑的代理对目标区域的分布式保护。我们提出了一种分布式控制器来实现由复值邻接矩阵指定的具有相同距离和不同旋转角度的分布式集合投影。在温和的连通性假设下,我们证明了所有智能体都可以保护/包围一个平面上由凸集描述的目标。
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