{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T15:08:29Z","timestamp":1782313709470,"version":"3.54.5"},"reference-count":40,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62103232"],"award-info":[{"award-number":["62103232"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62103176"],"award-info":[{"award-number":["62103176"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Fund of Shandong Province","award":["ZR2021QF005"],"award-info":[{"award-number":["ZR2021QF005"]}]},{"name":"Natural Science Fund of Shandong Province","award":["ZR2019BF023"],"award-info":[{"award-number":["ZR2019BF023"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Control Netw. Syst."],"published-print":{"date-parts":[[2023,9]]},"DOI":"10.1109\/tcns.2023.3235063","type":"journal-article","created":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T20:49:36Z","timestamp":1673297376000},"page":"1581-1589","source":"Crossref","is-referenced-by-count":12,"title":["Set Stability of Probabilistic Logical Networks and Its Application to State-Based Games"],"prefix":"10.1109","volume":"10","author":[{"given":"Wen","family":"Liu","sequence":"first","affiliation":[{"name":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8071-8439","authenticated-orcid":false,"given":"Changxi","family":"Li","sequence":"additional","affiliation":[{"name":"Center for Systems and Control, College of Engineering, Peking University, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0569-3283","authenticated-orcid":false,"given":"Shihua","family":"Fu","sequence":"additional","affiliation":[{"name":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jianli","family":"Zhao","sequence":"additional","affiliation":[{"name":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1142\/8323"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.08.037"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.65.016129"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2015.2513068"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2016.2585861"},{"key":"ref37","first-page":"1","article-title":"State-based potential game approach for distributed economic dispatch problem in smart grid","author":"liang","year":"0","journal-title":"Proc IEEE Power Energy Soc Gen Meeting"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ISB.2014.6990737"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7039540"},{"key":"ref31","first-page":"736","article-title":"Stability and set stability in distribution of probabilistic Boolean networks","volume":"64","author":"guo","year":"2019","journal-title":"IEEE Trans Autom Control"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/CCDC.2014.6852489"},{"key":"ref11","first-page":"512","article-title":"Dynamical Boolean systems: Stability analysis and applications","author":"watta","year":"0","journal-title":"Proc SPIE Int Symp Aerospace\/Defense Sens Control Dual-Use Photon"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2018.2881279"},{"key":"ref10","first-page":"1063","article-title":"Stability of equilibrial states and limit cycles in sparsely connected, structurally complex Boolean nets","volume":"1","author":"walker","year":"1987","journal-title":"Complex Syst"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.08.006"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1016\/j.jtbi.2006.09.023","article-title":"Control of Boolean networks: Hardness results and algorithms for tree structured networks","volume":"244","author":"akutsu","year":"2007","journal-title":"J Theor Biol"},{"key":"ref1","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1016\/0022-5193(69)90015-0","article-title":"Metabolic stability and epigenesis in randomly constructed genetic nets","volume":"22","author":"kauffman","year":"1969","journal-title":"J Theor Biol"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.02.034"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.108615"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2017.2763744"},{"key":"ref38","author":"cheng","year":"2010","journal-title":"Analysis and Control of Boolean Networks A Semi-Tensor Product Approach"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412501763"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-013-4851-4"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2021.126259"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2017.09.024"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.06.030"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-019-9904-6"},{"key":"ref20","first-page":"790","article-title":"Stability and stabilization of Boolean networks with stochastic delays","volume":"64","author":"meng","year":"2019","journal-title":"IEEE Trans Autom Control"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2021.126519"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2018.08.009"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2018.12.012"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2013.02.018"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2018.2885273"},{"key":"ref8","author":"bushnell","year":"2000","journal-title":"Essentials of Electronic Testing for Digital Memory and Mixed-Signal VLSI Circuits"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s11768-020-00026-8"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"34101","DOI":"10.1063\/1.1996927","article-title":"Stability of functions in Boolean models of gene regulatory networks","volume":"15","author":"r\u00e4m\u00f6","year":"2005","journal-title":"Chaos"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btl210"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.5660"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5717060"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(03)00063-8"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2404471"}],"container-title":["IEEE Transactions on Control of Network Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6509490\/10254652\/10011566.pdf?arnumber=10011566","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T19:26:24Z","timestamp":1696879584000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10011566\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9]]},"references-count":40,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tcns.2023.3235063","relation":{},"ISSN":["2325-5870","2372-2533"],"issn-type":[{"value":"2325-5870","type":"electronic"},{"value":"2372-2533","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9]]}}}