Title :
Notes on averaging over acyclic digraphs and discrete coverage control
Author :
Gao, Chunkai ; Bullo, Francesco ; Cortés, Jorge ; Jadbabaie, Ali
Author_Institution :
Dept. of Mech. Eng., California Univ., Santa Barbara, CA
Abstract :
In this paper, we show the relationship between two algorithms and optimization problems that are the subject of recent attention in the networking and control literature. First, we obtain some results on averaging algorithms over acyclic digraphs with fixed and controlled-switching topology. Second, we discuss continuous and discrete coverage control laws. Further, we show how discrete coverage control laws can be cast as averaging algorithms over discrete Voronoi graphs
Keywords :
computational geometry; directed graphs; discrete systems; optimisation; acyclic digraphs; averaging algorithms; continuous coverage control laws; control literature; controlled-switching topology; discrete Voronoi graphs; discrete coverage control laws; Algorithm design and analysis; Convergence; Distributed control; Drives; Laplace equations; Network topology; Optimal control; Robot kinematics; Robot sensing systems; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377456
