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Lag quasisynchronization of coupled delayed systems with parameter mismatch by periodically intermittent control

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Abstract

This paper further investigates the lag synchronization of coupled delayed systems with parameter mismatch. Different from the most existing results, we formulate the intermittent control system that governs the dynamics of the synchronization error. As a result of parameter mismatch, complete lag synchronization cannot be achieved. In this paper, a lag quasisynchronization scheme is proposed to ensure that coupled systems are in a state of lag synchronization with an error level. We estimate the error bound of lag synchronization by rigorously theoretical analysis. Numerical simulations are presented to verify the theoretical results.

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Acknowledgements

The work described in this paper was partially supported by the National Natural Science Foundation of China (Grant No. 60974020) and Natural Science Foundation Project of Chongqing CSTC (Grant No. cstc2011jjA0980), and the Foundation of Chongqing Education College (Grant No. KY201112A, KY201113B, KY201122C ).

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Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400030, China

    Junjian Huang, Chuandong Li & Qi Han

  2. Department of Computer Science, Chongqing University of Education, Chongqing, 400067, China

    Junjian Huang

  3. Texas A & M University at Qatar, 23874, Education City, Doha, Qatar

    Tingwen Huang

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  1. Junjian Huang
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  2. Chuandong Li
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  3. Tingwen Huang
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  4. Qi Han
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Correspondence to Junjian Huang.

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Huang, J., Li, C., Huang, T. et al. Lag quasisynchronization of coupled delayed systems with parameter mismatch by periodically intermittent control. Nonlinear Dyn 71, 469–478 (2013). https://doi.org/10.1007/s11071-012-0673-y

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