{"title":"基于混合指数模型的脉冲布尔控制网络的输出可控性","authors":"Qianya Liang, Rongpei Zhou, Jie Chen, Yong Ding","doi":"10.1049/cth2.12609","DOIUrl":null,"url":null,"abstract":"<p>In biological systems, impulses are often used to model mutations in gene expression. In order to describe the instantaneity of the impulse, this paper employs a hybrid-index model of impulsive Boolean networks with state-triggered impulses. Based on this model, the time-domain output controllability is investigated. Using the quotient mapping method, the hybrid-domain solutions of this model are mapped to the time-domain solutions, mathematically. Then a necessary and sufficient condition for output controllability in the time domain is presented. Finally, an example is given to demonstrate the correctness and effectiveness of the obtained results.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.12609","citationCount":"0","resultStr":"{\"title\":\"Output controllability of impulsive Boolean control networks based on hybrid-index model\",\"authors\":\"Qianya Liang, Rongpei Zhou, Jie Chen, Yong Ding\",\"doi\":\"10.1049/cth2.12609\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In biological systems, impulses are often used to model mutations in gene expression. In order to describe the instantaneity of the impulse, this paper employs a hybrid-index model of impulsive Boolean networks with state-triggered impulses. Based on this model, the time-domain output controllability is investigated. Using the quotient mapping method, the hybrid-domain solutions of this model are mapped to the time-domain solutions, mathematically. Then a necessary and sufficient condition for output controllability in the time domain is presented. Finally, an example is given to demonstrate the correctness and effectiveness of the obtained results.</p>\",\"PeriodicalId\":50382,\"journal\":{\"name\":\"IET Control Theory and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2023-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.12609\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IET Control Theory and Applications\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1049/cth2.12609\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Control Theory and Applications","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1049/cth2.12609","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Output controllability of impulsive Boolean control networks based on hybrid-index model
In biological systems, impulses are often used to model mutations in gene expression. In order to describe the instantaneity of the impulse, this paper employs a hybrid-index model of impulsive Boolean networks with state-triggered impulses. Based on this model, the time-domain output controllability is investigated. Using the quotient mapping method, the hybrid-domain solutions of this model are mapped to the time-domain solutions, mathematically. Then a necessary and sufficient condition for output controllability in the time domain is presented. Finally, an example is given to demonstrate the correctness and effectiveness of the obtained results.
期刊介绍:
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.