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Sampling-interval-dependent synchronization of complex dynamical networks with distributed coupling delay

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Abstract

The problem of sampled-data synchronization of complex dynamical networks with distributed coupling delay and time-varying sampling is discussed in this paper. Based on the input delay approach and two integral inequalities, a stability criterion is proposed for the error dynamics, which is sampling-interval-dependent. Based on the given criterion, the design method of the desired sampled-data controllers is also obtained in terms of the solution to linear matrix inequalities, which can be checked effectively by using available software. An example is given to illustrate the effectiveness of the proposed result.

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Acknowledgments

The work of J. H. Park was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013R1A1A2A10005201). The work of Z.-X. Li was supported by the National Natural Science Foundation of China under Grant Nos. 61174029 and 61304072.

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Authors and Affiliations

  1. School of Engineering, Huzhou Teachers College, Huzhou , 313000, Zhejiang, People’s Republic of China

    Zu-Xin Li

  2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan , 712-749, Republic of Korea

    Ju H. Park

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  1. Zu-Xin Li
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  2. Ju H. Park
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Correspondence to Ju H. Park.

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Li, ZX., Park, J.H. Sampling-interval-dependent synchronization of complex dynamical networks with distributed coupling delay. Nonlinear Dyn 78, 341–348 (2014). https://doi.org/10.1007/s11071-014-1443-9

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  • DOI: https://doi.org/10.1007/s11071-014-1443-9

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