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Finite-time global synchronization for a class of Markovian jump complex networks with partially unknown transition rates under feedback control

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Abstract

This paper presents a framework for finite-time global synchronization of Markovian jump complex networks (MJCNs) with partially unknown transition rates, time-delays and stochastic noises. Several criteria for finite-time global synchronization are given by using the stochastic analysis techniques and matrix theory. These criteria provide a feasible approach to design linear feedback controller and to compute finite-time of global synchronization for the addressed MJCNs. Four numerical examples are given to demonstrate the effectiveness of the theoretical results.

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Acknowledgments

The work is supported by the Education Commission Scientific Research Innovation Key Project of Shanghai under Grant 13ZZ050, the Science and Technology Commission Innovation Plan Basic Research Key Project of Shanghai under Grant 12JC1400400, Education Department Scientific Project of Zhejiang Province under Grant Y201326804, and the Scientific and Technological Innovation Plan Projects of Ningbo City under Grant 2012B71011 and 2011B710038.

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, People’s Republic of China

    Xin Wang & Jian-an Fang

  2. School of Information Engineering, Zhejiang Textile and Fashion College, Ningbo, 315211, Zhejiang, People’s Republic of China

    Xin Wang & Huanyu Mao

  3. School of Mathematics and Computer Science, Hunan City University, Yiyang, 413000, Hunan, People’s Republic of China

    Anding Dai

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  1. Xin Wang
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  2. Jian-an Fang
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  4. Anding Dai
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Correspondence to Jian-an Fang.

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Wang, X., Fang, Ja., Mao, H. et al. Finite-time global synchronization for a class of Markovian jump complex networks with partially unknown transition rates under feedback control. Nonlinear Dyn 79, 47–61 (2015). https://doi.org/10.1007/s11071-014-1644-2

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  • DOI: https://doi.org/10.1007/s11071-014-1644-2

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