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Journal of Applied Sciences >

2018 , Vol. 36 >Issue 5: 859 - 869

DOI: https://doi.org/10.3969/j.issn.0255-8297.2018.05.013

Control and System

Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay

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  • 1. Key Laboratory of Wind Power Generation and Control, Hunan Institute of Engineering, Xiangtan 411100, Hunan Province, China;
    2. Collaborative Innovation Center of Wind Power Equipment and Power Transformation in Hunan Province, Xiangtan 411100, Hunan Province, China;
    3. School of Wind Energy, Hunan Electric Career Academy, Xiangtan 411100, Hunan Province, China

Received date: 2017-08-05

  Revised date: 2017-10-17

  Online published: 2018-09-30

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Abstract

This paper focuses on the exponential synchronization problems of uncertain complex dynamic networks with time-varying delay. Both time-varying delays and network uncertainties of the complex dynamic network model are considered. As the dynamic changes of nodes and the coupling between nodes are nonlinear, under the condition that the uncertainty satisfies the matching condition and that the delay is unknown but bounded, a new criterion of the exponential synchronization is derived by constructing a suitable Lyapunov-Krasovskii function with the linear matrix inequality (LMI) approach. And the appropriate feedback controllers are designed. Finally, numerical simulation validates the effectiveness of the proposed method.

Key words： uncertain; linear matrix inequality (LMI); exponential synchronization; time-varying delay; complex network

Cite this article

LUO Yi-ping, SHU Li, ZHOU Bi-feng . Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay[J]. Journal of Applied Sciences, 2018 , 36(5) : 859 -869 . DOI: 10.3969/j.issn.0255-8297.2018.05.013

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