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Network Synchronization With Nonlinear Dynamics and Switching Interactions
Yang, Tao1; Meng, Ziyang2,3; Shi, Guodong4; Hong, Yiguang5; Johansson, Karl Henrik6
AbstractThis technical note considers the synchronization problem for networks of coupled nonlinear dynamical systems under switching communication topologies. Two types of nonlinear agent dynamics are considered. The first one is non-expansive dynamics [stable dynamics with a convex Lyapunov function phi(.)] and the second one is dynamics that satisfies a global Lipschitz condition. For the non-expansive case, we show that various forms of joint connectivity for communication graphs are sufficient for networks to achieve global asymptotic phi-synchronization. We also show that phi-synchronization leads to state synchronization provided that certain additional conditions are satisfied. For the globally Lipschitz case, unlike the non-expansive case, joint connectivity alone is not sufficient for achieving synchronization. A sufficient condition for reaching global exponential synchronization is established in terms of the relationship between the global Lipschitz constant and the network parameters.
KeywordMulti-agent systems nonlinear agents switching interactions synchronization
Funding ProjectKnut and Alice Wallenberg Foundation ; Swedish Research Council
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000385406100032
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Document Type期刊论文
Corresponding AuthorYang, Tao
Affiliation1.Pacific Northwest Natl Lab, Richland, WA 99352 USA
2.Tsinghua Univ, Dept Precis Instrument, Beijing 100084, Peoples R China
3.Tsinghua Univ, State Key Lab Precis Measurement Technol & Instru, Beijing 100084, Peoples R China
4.Australian Natl Univ, Coll Engn & Comp Sci, Canberra, ACT 0200, Australia
5.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
6.Royal Inst Technol, Sch Elect Engn, ACCESS Linnaeus Ctr, S-10044 Stockholm, Sweden
Recommended Citation
GB/T 7714
Yang, Tao,Meng, Ziyang,Shi, Guodong,et al. Network Synchronization With Nonlinear Dynamics and Switching Interactions[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2016,61(10):3103-3108.
APA Yang, Tao,Meng, Ziyang,Shi, Guodong,Hong, Yiguang,&Johansson, Karl Henrik.(2016).Network Synchronization With Nonlinear Dynamics and Switching Interactions.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,61(10),3103-3108.
MLA Yang, Tao,et al."Network Synchronization With Nonlinear Dynamics and Switching Interactions".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 61.10(2016):3103-3108.
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