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Adaptive synchronization of coupled harmonic oscillators under switching topology

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成果类型:
期刊论文
作者:
Xu, Chengjie;Zhao, Yulin;Qin, Bin;Zhang, Hong*
通讯作者:
Zhang, Hong
作者机构:
[Zhao, Yulin; Xu, Chengjie] Hunan Univ Technol, Sch Sience, Zhuzhou 412008, Peoples R China.
[Qin, Bin] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412008, Peoples R China.
[Zhang, Hong; Xu, Chengjie] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China.
通讯机构:
[Zhang, Hong] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China.
语种:
英文
期刊:
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN:
0016-0032
年:
2019
卷:
356
期:
2
页码:
1067-1087
文献类别:
WOS:Article
所属学科:
WOS学科类别:Automation & Control Systems;Engineering, Electrical & Electronic;Engineering, Multidisciplinary;Mathematics, Interdisciplinary Applications
入藏号:
基金类别:
National Natural Science Foundation of China [61703154, 61773159, 61673166]; Program for New Century Excellent Talents in University from Chinese Ministry of Education [NCET-12-0215]; Excellent Young Foundation of Hunan Educational Committee [16B070]; Natural Science Foundation of Hunan Educational Committee [12C0088]; China Postdoctoral Science Foundation [2016M602298]; MOE Key Laboratory of Image Processing and Intelligence Control [IPIC2017-04]
机构署名:
本校为第一机构
院系归属:
电气与信息工程学院
理学院
摘要:
This paper investigates the adaptive synchronization for coupled harmonic oscillators with switching topology. Edge-based adaptive control protocols are proposed for both leaderless and leader-following synchronization for coupled harmonic oscillators with switching topology. Using Lyapunov stability theory, by parting the topology graph into connected components (containing at least two connected vertices) and isolated vertex components (containing a isolated vertex), full distributed adaptive synchronization conditions are obtained, which can guarantee that the synchronization conditions do not require any global information except a mild connection assumption. Finally numerical simulations are presented to illustrate the theoretical findings. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
参考文献:
Cai CH, 2010, P AMER CONTR CONF, P1767
Cao YC, 2013, IEEE T IND INFORM, V9, P427, DOI 10.1109/TII.2012.2219061
Chen TP, 2007, IEEE T CIRCUITS-I, V54, P1317, DOI 10.1109/TCSI.2007.895383
Chen X, 2015, IMA J MATH CONTROL I, V32, P537, DOI 10.1093/imamci/dnu009
Godsil C., 2001, ALGRBRA GRAPH THEORY

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