{"title":"切换布尔控制网络的模型-输入-状态矩阵及其应用","authors":"Lequn Zhang, Jun‐e Feng","doi":"10.1109/WCICA.2012.6358112","DOIUrl":null,"url":null,"abstract":"The model-input-state matrix of a Switched Boolean Control Network (SBCN) is introduced for the first time. This matrix contains all information of the model-input-state mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law which drive a point to a given reachable point is designed. One sufficient condition for the observability of a SBCN is obtained. Under the assumption of controllability, one necessary and sufficient condition is derived for the observability.","PeriodicalId":114901,"journal":{"name":"Proceedings of the 10th World Congress on Intelligent Control and Automation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Model-input-state matrix of Switched Boolean Control Networks and its applications\",\"authors\":\"Lequn Zhang, Jun‐e Feng\",\"doi\":\"10.1109/WCICA.2012.6358112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The model-input-state matrix of a Switched Boolean Control Network (SBCN) is introduced for the first time. This matrix contains all information of the model-input-state mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law which drive a point to a given reachable point is designed. One sufficient condition for the observability of a SBCN is obtained. Under the assumption of controllability, one necessary and sufficient condition is derived for the observability.\",\"PeriodicalId\":114901,\"journal\":{\"name\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2012.6358112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 10th World Congress on Intelligent Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2012.6358112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Model-input-state matrix of Switched Boolean Control Networks and its applications
The model-input-state matrix of a Switched Boolean Control Network (SBCN) is introduced for the first time. This matrix contains all information of the model-input-state mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law which drive a point to a given reachable point is designed. One sufficient condition for the observability of a SBCN is obtained. Under the assumption of controllability, one necessary and sufficient condition is derived for the observability.
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