Passivity and synchronisation of complex dynamical networks with multiple derivative couplings

Two network models with multiple derivative couplings and different dimensions of output and input vectors are investigated in this paper. The problem of passivity for the proposed network models is analysed by utilising some inequality techniques and Lyapunov functional method, and several synchron...

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Bibliographic Details
Published inInternational journal of control Vol. 93; no. 7; pp. 1710 - 1724
Main Authors Wang, Dong-Yang, Wang, Jin-Liang, Ren, Shun-Yan, Huang, Yan-Li
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.07.2020
Taylor & Francis Ltd
Subjects
Adaptive control
complex networks
Couplings
Feedback control
multiple derivative couplings
Passivity
State feedback
synchronisation
Synchronism
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Summary:Two network models with multiple derivative couplings and different dimensions of output and input vectors are investigated in this paper. The problem of passivity for the proposed network models is analysed by utilising some inequality techniques and Lyapunov functional method, and several synchronisation conditions for complex dynamical networks with multiple derivative couplings (CDNMDC) are given. Moreover, by employing adaptive state feedback control strategy, some sufficient conditions for guaranteeing passivity and synchronisation of CDNMDC are obtained. In the end, we give two examples to verify the effectiveness of the results.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2018.1528387