{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T07:40:48Z","timestamp":1771659648050,"version":"3.50.1"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T00:00:00Z","timestamp":1553644800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Scientific Research Program of Higher Education of Henan Province of China","award":["19A520036"],"award-info":[{"award-number":["19A520036"]}]},{"name":"Key Scientific Research Program of Higher Education of Henan Province of China","award":["182102210500"],"award-info":[{"award-number":["182102210500"]}]},{"name":"Key Technology R&D Program of Science and Technology Department of Henan Province of China","award":["19A520036"],"award-info":[{"award-number":["19A520036"]}]},{"name":"Key Technology R&D Program of Science and Technology Department of Henan Province of China","award":["182102210500"],"award-info":[{"award-number":["182102210500"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Control Science and Engineering"],"published-print":{"date-parts":[[2019,3,27]]},"abstract":"<jats:p>This paper deals with the problem of identifying a Petri net that models the unobservable behavior of a system from the knowledge of its dynamical evolution. We assume that a partial Petri net model that represents the observable behavior of a system is given in which all the transitions are observable. An identifier monitors the system evolution and records the observed transition sequence (and possible corresponding markings). Some unobservable transitions modeling the unknown system behavior are identified from the transition sequence by formulating and solving integer linear programming problems. These identified unobservable transitions together with the given partial Petri net model characterize the whole system, including observable and unobservable behavior. Two different cases are considered. First, we assume that no place is observable. In such a case, a transition sequence is observed only during the evolution of the system. Second, we assume that a subset of places is observable; i.e., the observation contains not only the transition sequence but the corresponding markings as well. Hence an additional constraint should be imposed on the unobservable transition in the related programming problems according to the observed markings such that a more authentic unobservable transition can be found.<\/jats:p>","DOI":"10.1155\/2019\/2895685","type":"journal-article","created":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T19:33:33Z","timestamp":1553715213000},"page":"1-11","source":"Crossref","is-referenced-by-count":6,"title":["Model Identification of Unobservable Behavior of Discrete Event Systems Using Petri Nets"],"prefix":"10.1155","volume":"2019","author":[{"given":"Guanghui","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Information Engineering, Xuchang University, Xuchang 461000, China"},{"name":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1899-5061","authenticated-orcid":true,"given":"Ya","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Xuchang University, Xuchang 461000, China"}]},{"given":"Yajie","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-68612-7"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.06.068"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.02.014"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2009.2014932"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.06.013"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.07.021"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s10626-009-0074-7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(78)90562-4"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1145\/322326.322334"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s10626-007-0025-0"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s10626-014-0190-x"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.10.014"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2010.09.004"},{"issue":"17","key":"19","doi-asserted-by":"crossref","first-page":"221","DOI":"10.3182\/20060926-3-PL-4904.00037","volume":"39","year":"2006","journal-title":"IFAC Proceedings Volumes"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/9.412626"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2013.09.009"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/5.24143"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00178-2"}],"container-title":["Journal of Control Science and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/2895685.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/2895685.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/2895685.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T19:33:40Z","timestamp":1553715220000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jcse\/2019\/2895685\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,27]]},"references-count":18,"alternative-id":["2895685","2895685"],"URL":"https:\/\/doi.org\/10.1155\/2019\/2895685","relation":{},"ISSN":["1687-5249","1687-5257"],"issn-type":[{"value":"1687-5249","type":"print"},{"value":"1687-5257","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,27]]}}}