Synchronization of Networked Harmonic Oscillators under Nonlinear Protocols

被引：0
|
作者：
Cheng, Shan [1 ]
Zhang, Gang [2 ]
Xiang, Lan [3 ]
Zhou, Jin [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang, Hebei, Peoples R China
[3] Shanghai Univ, Sch Sci, Dept Phys, Shanghai, Peoples R China
来源：
11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2010) | 2010年
基金：
美国国家科学基金会;
关键词：
synchronization; networked harmonic oscillators; nonlinear protocol; multi-agent systems; coordination; MULTI-AGENTS; ALGORITHMS; FLOCKING; SYSTEMS; SCHOOLS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the synchronization of networked harmonic oscillators under nonlinear protocols. Some convergence analysis for such networked harmonic oscillators, both without and with a leader, are provided by means of algebraic graph theory, matrix theory and Lyapunov stability theory on dynamical systems. We show that the networked harmonic oscillators can achieve synchronization under nonlinear control input. Moreover, we also demonstrate that all harmonic oscillators can attain the position and velocity of the leader under nonlinear network connectivity conditions. Finally, numerical simulations are given to verify the correctness of obtained results.
引用
收藏
页码：1693 / 1698
页数：6
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