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Event-triggered control for the synchronization of Boolean control networks

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Abstract

This paper concerns the synchronization of drive-response Boolean control networks (BCNs) under event-triggered control. The algebraic form of drive-response BCNs can be acquired with the help of semi-tensor product of matrices. Using the algebraic form, a necessary and sufficient condition is obtained for the synchronization of drive-response BCNs. Then, a constructive procedure is presented to design event-triggered controllers for the drive-response BCNs. Moreover, we also design event-triggered controllers such that an array of drive-response BCNs achieve synchronization. Finally, an numerical example is given for the illustration of the result.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61573102 and 61573008, the Natural Science Foundation of Jiangsu Province of China under Grant BK20170019, and China Postdoctoral Science Foundation under Grant Nos. 2014M560377 and 2015T80483, Jiangsu Province Six Talent Peaks Project under Grant 2015-ZNDW-002, the Fundamental Research Funds for the Central Universities under Grants JZ2017HGTB0188, and SDUST Research Fund (Nos. 2014TDJH102, 2018TDJH101).

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Authors and Affiliations

  1. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jiaojiao Yang & Jianquan Lu

  2. School of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Lulu Li

  3. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Yang Liu

  4. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhen Wang

  5. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Fuad E. Alsaadi

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  1. Jiaojiao Yang
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  2. Jianquan Lu
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  3. Lulu Li
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  4. Yang Liu
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  5. Zhen Wang
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  6. Fuad E. Alsaadi
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Correspondence to Zhen Wang.

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Yang, J., Lu, J., Li, L. et al. Event-triggered control for the synchronization of Boolean control networks. Nonlinear Dyn 96, 1335–1344 (2019). https://doi.org/10.1007/s11071-019-04857-2

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