Recurrent output tracking of Boolean networks
This paper addresses the recurrent output tracking problem (ROTP) in Boolean networks (BNs), that is the property of systems output to intermittently and infinitely track a desired reference signal over long-term operation. Leveraging the semi-tensor product of matrices as the primary analytical too...
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| Published in | Nonlinear analysis. Hybrid systems Vol. 56; p. 101583 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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01.05.2025
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| Abstract | This paper addresses the recurrent output tracking problem (ROTP) in Boolean networks (BNs), that is the property of systems output to intermittently and infinitely track a desired reference signal over long-term operation. Leveraging the semi-tensor product of matrices as the primary analytical tool, the study proposes solvability criteria for ROTP in both BNs and Boolean control networks (BCNs), and proposes algorithms to identify all states that enable recurrent tracking of the reference signal in these systems. Additionally, a truth matrix-based method is used to design state feedback controllers, ensuring ROTP solvability for BCNs initiating from such states. The study also explores the periodicity of the recurrent output tracking in B(C)Ns, demonstrating that the output tracking problem is a specific instance of the ROTP. The effectiveness of the proposed methods and results is validated through illustrative examples. |
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| AbstractList | This paper addresses the recurrent output tracking problem (ROTP) in Boolean networks (BNs), that is the property of systems output to intermittently and infinitely track a desired reference signal over long-term operation. Leveraging the semi-tensor product of matrices as the primary analytical tool, the study proposes solvability criteria for ROTP in both BNs and Boolean control networks (BCNs), and proposes algorithms to identify all states that enable recurrent tracking of the reference signal in these systems. Additionally, a truth matrix-based method is used to design state feedback controllers, ensuring ROTP solvability for BCNs initiating from such states. The study also explores the periodicity of the recurrent output tracking in B(C)Ns, demonstrating that the output tracking problem is a specific instance of the ROTP. The effectiveness of the proposed methods and results is validated through illustrative examples. |
| ArticleNumber | 101583 |
| Author | Fu, Shihua Wang, Biao Del Vecchio, Carmen Zhao, Jianli Wang, Jianjun Jiang, Chunfeng |
| Author_xml | – sequence: 1 givenname: Chunfeng orcidid: 0000-0003-3704-0148 surname: Jiang fullname: Jiang, Chunfeng organization: Department of Engineering, University of Sannio, 82100, Benevento, Italy – sequence: 2 givenname: Shihua surname: Fu fullname: Fu, Shihua organization: Research Center of Semi-tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, shandong, PR China – sequence: 3 givenname: Carmen orcidid: 0000-0001-6937-9678 surname: Del Vecchio fullname: Del Vecchio, Carmen email: c.delvecchio@unisannio.it organization: Department of Engineering, University of Sannio, 82100, Benevento, Italy – sequence: 4 givenname: Biao surname: Wang fullname: Wang, Biao organization: School of Management, Shandong University, Jinan 250100, shandong, PR China – sequence: 5 givenname: Jianjun surname: Wang fullname: Wang, Jianjun organization: Research Center of Semi-tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, shandong, PR China – sequence: 6 givenname: Jianli surname: Zhao fullname: Zhao, Jianli organization: Research Center of Semi-tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, shandong, PR China |
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| Cites_doi | 10.1016/j.cam.2017.06.016 10.1186/1687-4153-2013-4 10.1016/j.nahs.2023.101435 10.1016/j.automatica.2015.06.004 10.1016/j.sysconle.2005.11.002 10.1109/TAC.2023.3337256 10.1016/j.brainres.2020.147264 10.1109/TAC.2010.2043294 10.1016/j.nahs.2024.101501 10.1109/TIE.2004.834961 10.1016/j.jfranklin.2018.09.004 10.1016/j.nahs.2015.10.002 10.1016/0022-5193(69)90015-0 10.1016/j.isatra.2023.12.029 10.1016/j.automatica.2022.110618 10.1007/s11432-017-9238-1 10.1016/j.ins.2018.12.087 10.1016/j.automatica.2022.110367 10.1016/j.nahs.2016.04.001 10.1146/annurev.genom.2.1.343 10.1016/j.jtbi.2006.09.023 10.1016/j.automatica.2021.110097 10.1016/j.jfranklin.2021.06.006 10.1109/TAC.2019.2944903 10.1109/TCST.2007.912235 10.1109/TAC.2016.2606600 10.1016/j.automatica.2009.03.006 10.1109/SMC.2019.8914068 10.1016/j.jfranklin.2023.08.012 10.1016/j.ins.2021.04.072 10.1086/377408 10.1109/ACC.2014.6859005 10.1016/j.automatica.2019.02.006 |
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| Keywords | State feedback control Recurrent period Semi-tensor product Recurrent output tracking Boolean control networks |
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| Snippet | This paper addresses the recurrent output tracking problem (ROTP) in Boolean networks (BNs), that is the property of systems output to intermittently and... |
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| SubjectTerms | Boolean control networks Recurrent output tracking Recurrent period Semi-tensor product State feedback control |
| Title | Recurrent output tracking of Boolean networks |
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