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Pinning Control Design for Stabilization of Boolean Networks From Constructed Boolean Control Networks

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Book cover Positive Systems (POSTA 2018)

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 480))

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Abstract

In this work, we study the pinning control design for stabilization of Boolean netowrks (BNs) from constructed Boolean control networks (BCNs). Based on the algebraic model of BNs, for a given matrix set, not only feasible pinning controllers can be obtained but also the solution for the pinning controllers is unique. Thus, we can design the pinning controllers for BNs from the aspect of BCNs.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 61573102, the Natural Science Foundation of Jiangsu Province of China under Grant no. BK20170019, Jiangsu Provincial Key Laboratory of Networked Collective Intelligence under Grant No. BM2017002, and China Postdoctoral Science Foundation under Grant No. 2014M560377 and 2015T80483, Jiangsu Province Six Talent Peaks Project under Grant 2015-ZNDW-002, and the Fundamental Research Funds for the Central Universities under Grant No. 2242017K41045.

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Authors and Affiliations

  1. School of Cyber Science and Engineering, Southeast University, Nanjing, 210096, People’s Republic of China

    Rongjian Liu

  2. School of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China

    Rongjian Liu & Jianquan Lu

  3. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong

    Jie Zhong

Authors
  1. Rongjian Liu
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  2. Jianquan Lu
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  3. Jie Zhong
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Corresponding author

Correspondence to Jianquan Lu .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

    James Lam

  2. Hangzhou Dianzi University, Hangzhou, China

    Yun Chen

  3. Southwest Minzu University, Chengdu, China

    Xingwen Liu

  4. Dalian University of Technology, Dalian, China

    Xudong Zhao

  5. Hangzhou Dianzi University, Hangzhou, China

    Junfeng Zhang

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Liu, R., Lu, J., Zhong, J. (2019). Pinning Control Design for Stabilization of Boolean Networks From Constructed Boolean Control Networks. In: Lam, J., Chen, Y., Liu, X., Zhao, X., Zhang, J. (eds) Positive Systems . POSTA 2018. Lecture Notes in Control and Information Sciences, vol 480. Springer, Cham. https://doi.org/10.1007/978-3-030-04327-8_21

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