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Finite-time Set Stabilization of Impulsive Probabilistic Boolean Control Networks via Time-variant Feedback Control

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  • Control Theory and Applications
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Abstract

This paper investigates the finite-time set stabilization of impulsive probabilistic Boolean control networks (IPBCNs) by designing time-variant state feedback control. Based on the semi-tensor product method, the algebraic form is established for the given IPBCNs. Then, a constructive method is proposed to design time-variant state feedback controller for the set stabilization of IPBCNs. In order to reduce the control execution time, a specific method is put forward to construct the event-triggered state feedback control (ETSFC). Furthermore, the obtained results are applied to both state synchronization and output synchronization of master-slave IPBCNs.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, China

    Qilong Sun, Wenying Hou, Haitao Li & Jing Wang

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  1. Qilong Sun
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  2. Wenying Hou
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Correspondence to Wenying Hou.

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This work is partially supported by the National Natural Science Foundation of China under grant No. 62073202, No. 61803236, the Shandong Provincial Natural Science Foundation under grant No. ZR2018BF017, and the Young Experts of Taishan Scholar Project under grant No. tsqn201909076.

Qilong Sun received her B.S. degree from the School of Mathematics and Statistics, Shandong Normal University in 2020. She is currently pursuing an M.S. degree at the School of Mathematics and Statistics, Shandong Normal University. Her research interests include logical dynamic systems and impulsive control.

Wenying Hou received her B.S. and M.S. degrees from the School of Mathematical Science, Shandong Normal University, in 2010 and 2013, respectively, and a Ph.D. degree at the School of Control Science and Engineering, Shandong University in 2017. Since 2017, she has been with the School of Mathematics and Statistics, Shandong Normal University. Her research interests include multi-agent network consensus control and networked evolutionary games.

Haitao Li received his B.S. and M.S. degrees from the School of Mathematical Science, Shandong Normal University, in 2007 and 2010, respectively, and a Ph.D. degree at the School of Control Science and Engineering, Shandong University in 2014. Since 2015, he has been with the School of Mathematics and Statistics, Shandong Normal University, China, where he is currently a professor. From Jan. 2014 to Jan. 2015, he worked as a Research Fellow in Nanyang Technological University, Singapore. His research interests include logical dynamic systems, networked evolutionary games, and nonlinear control. He won the Second Class Prize of The Natural Science Award of Shandong Province in 2018 and 2021, respectively, the Distinguished Young Scholars of Shandong Province in 2016, the “Guan Zhaozhi Award” in 2012, and the “Best Student Paper Award” at the 10th World Congress on Intelligent Control and Automation.

Jing Wang received her B.S. and M.S. degrees from the School of Mathematics and Statistics, Shandong Normal University, in 2018 and 2021, respectively. Her research interests include logical dynamic systems and impulsive control systems.

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Sun, Q., Hou, W., Li, H. et al. Finite-time Set Stabilization of Impulsive Probabilistic Boolean Control Networks via Time-variant Feedback Control. Int. J. Control Autom. Syst. 20, 3592–3605 (2022). https://doi.org/10.1007/s12555-021-0444-y

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