Title :
On equilibria and consensus of high-order Kuramoto model
Author_Institution :
Inst. of Math., Nanjing Normal Univ., Nanjing, China
Abstract :
In this paper, generalized forms of Kuramoto model in the general high-dimensional linear space are investigated. First, some results on equilibria of Kuramoto model are extended to high-order case. Next, under some limited initial conditions, the consensus problem of high-order Kuramoto model is solved. Finally, numerical simulations are given to illustrate the theoretical results.
Keywords :
directed graphs; interconnections; multi-agent systems; arbitrary interconnection topology; consensus problem; digraph; equilibria problem; general high-dimensional linear space; high-order Kuramoto model; high-order multiagent systems; numerical simulations; Biological system modeling; Couplings; Mathematical model; Multi-agent systems; Numerical models; Symmetric matrices; Vectors; Consensus; high-order multi-agent systems; multi-vehicle model; switching topology;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
