Mixed H∞ and passive synchronization of complex dynamical networks with time-varying delays

Dabin Li; Zicai Wang; Guangfu Ma; Chao Ma

doi:10.1109/CCDC.2015.7161864

Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays

Dabin Li
, Zicai Wang
, Guangfu Ma
, Chao Ma

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, the mixed H_∞ and passive synchronization problem is investigated for a class of complex dynamical networks with time-varying delays. By introducing the mixed H_∞ and passive concept and employing the Lyapunov-Krasovskii functional method, sufficient conditions are established for the synchronization error dynamical systems, which implies that the drive networks can synchronize with the response networks despite the effect of external disturbances. Finally, a numerical example is given to show the effectiveness of our proposed synchronization scheme.

Original language	English
Title of host publication	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5893-5898
Number of pages	6
ISBN (Electronic)	9781479970179
DOIs	https://doi.org/10.1109/CCDC.2015.7161864
State	Published - 17 Jul 2015
Event	27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China Duration: 23 May 2015 → 25 May 2015

Publication series

Name	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

Conference

Conference	27th Chinese Control and Decision Conference, CCDC 2015
Country/Territory	China
City	Qingdao
Period	23/05/15 → 25/05/15

Keywords

Complex dynamical networks
Mixed H and passive synchronization
Time-varying delays

Access to Document

10.1109/CCDC.2015.7161864

Cite this

Li, D., Wang, Z., Ma, G., & Ma, C. (2015). Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015 (pp. 5893-5898). Article 7161864 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2015.7161864

Li, Dabin ; Wang, Zicai ; Ma, Guangfu et al. / Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays. Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 5893-5898 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015).

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title = "Mixed H∞ and passive synchronization of complex dynamical networks with time-varying delays",

abstract = "In this paper, the mixed H∞ and passive synchronization problem is investigated for a class of complex dynamical networks with time-varying delays. By introducing the mixed H∞ and passive concept and employing the Lyapunov-Krasovskii functional method, sufficient conditions are established for the synchronization error dynamical systems, which implies that the drive networks can synchronize with the response networks despite the effect of external disturbances. Finally, a numerical example is given to show the effectiveness of our proposed synchronization scheme.",

keywords = "Complex dynamical networks, Mixed H and passive synchronization, Time-varying delays",

author = "Dabin Li and Zicai Wang and Guangfu Ma and Chao Ma",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 27th Chinese Control and Decision Conference, CCDC 2015 ; Conference date: 23-05-2015 Through 25-05-2015",

year = "2015",

month = jul,

day = "17",

doi = "10.1109/CCDC.2015.7161864",

language = "英语",

series = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "5893--5898",

booktitle = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

address = "美国",

}

Li, D, Wang, Z, Ma, G & Ma, C 2015, Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays. in Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015., 7161864, Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 5893-5898, 27th Chinese Control and Decision Conference, CCDC 2015, Qingdao, China, 23/05/15. https://doi.org/10.1109/CCDC.2015.7161864

Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays. / Li, Dabin; Wang, Zicai; Ma, Guangfu et al.
Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 5893-5898 7161864 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Ma, Chao

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N2 - In this paper, the mixed H∞ and passive synchronization problem is investigated for a class of complex dynamical networks with time-varying delays. By introducing the mixed H∞ and passive concept and employing the Lyapunov-Krasovskii functional method, sufficient conditions are established for the synchronization error dynamical systems, which implies that the drive networks can synchronize with the response networks despite the effect of external disturbances. Finally, a numerical example is given to show the effectiveness of our proposed synchronization scheme.

AB - In this paper, the mixed H∞ and passive synchronization problem is investigated for a class of complex dynamical networks with time-varying delays. By introducing the mixed H∞ and passive concept and employing the Lyapunov-Krasovskii functional method, sufficient conditions are established for the synchronization error dynamical systems, which implies that the drive networks can synchronize with the response networks despite the effect of external disturbances. Finally, a numerical example is given to show the effectiveness of our proposed synchronization scheme.

KW - Complex dynamical networks

KW - Mixed H and passive synchronization

KW - Time-varying delays

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T2 - 27th Chinese Control and Decision Conference, CCDC 2015

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Li D, Wang Z, Ma G, Ma C. Mixed H_∞ and passive synchronization of complex dynamical networks with time-varying delays. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 5893-5898. 7161864. (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). doi: 10.1109/CCDC.2015.7161864