Evolution of Complex Networks via Edge Snapping

被引:99
作者
DeLellis, Pietro [1 ]
diBernardo, Mario [1 ,2 ]
Garofalo, Franco [1 ]
Porfiri, Maurizio [3 ]
机构
[1] Univ Naples 2, Dept Syst & Comp Engn, I-80125 Naples, Italy
[2] Univ Bristol, Dept Engn Mech, Bristol BS8 1TH, Avon, England
[3] NYU, Polytech Inst, Dept Mech & Aerosp Engn, Brooklyn, NY 11201 USA
基金
美国国家科学基金会;
关键词
Adaptive control; consensus; networks; nonlinear systems; synchronization; GLOBAL SYNCHRONIZATION; DYNAMICAL NETWORKS; CONSENSUS; SYSTEMS; STABILITY; VIBRATIONS; FLOCKING; AGENTS;
D O I
10.1109/TCSI.2009.2037393
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we present a novel adaptive strategy for consensus and synchronization of complex networks. The strategy is inspired by bistable phenomena that are observed in a variety of mechanical systems. The novelty is that the adaptation involves the topology of the network itself rather than its coupling gains. In particular, we model the evolution of each coupling gain as a second order dynamical system that is subject to the action of a double-well potential. Through a new mechanism, termed as edge snapping, an unweighted network topology emerges at steady state. We assess the stability properties of the proposed scheme through analytical methods and numerical investigations. We conduct an extensive numerical study of the topological properties of the emerging network to elucidate the correlation between the initial conditions of the nodes' dynamics and the network structure.
引用
收藏
页码:2132 / 2143
页数:12
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