Invertibility and nonsingularity of Boolean control networks
文献类型：期刊论文
| 作者 | Zhang, Kuize1,2; Zhang, Lijun1,4; Xie, Lihua3 |
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2015-10-01 |
| 卷号 | 60页码:155-164 |
| 关键词 | Boolean control network Invertibility Nonsingularity Symbolic dynamics Weighted pair graph Semi-tensor product of matrices Control of the mammalian cell cycle |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2015.07.016 |
| 英文摘要 | Invertibility is an interesting and classical control-theoretic problem. However, there has been no result for the invertibility of Boolean control networks (BCNs) so far. We first adopt the theory of symbolic dynamics to characterize it. First, it is shown that a BCN generates a continuous mapping from the space of input trajectories to the space of output trajectories. Based on it, the concepts of nonsingularity and invertibility of BCNs are first defined as the injectivity and bijectivity of the mapping, respectively. Second, combined symbolic dynamics with the semi-tensor product (STP) of matrices, an equivalent test criterion for invertibility is given; easily computable algorithms to construct the inverse BCN for an invertible BCN are presented; and it is proved that invertibility remains invariant under coordinate transformations. Third, an equivalent test criterion for nonsingularity is given via defining a novel directed graph that is called weighted pair graph. Lastly, as an application of invertibility to systems biology, we prove that the BCN model proposed in Faure et al. (2006) is not invertible, i.e., we prove that arbitrarily controlling mammalian cell cycles is unfeasible at the theoretical level. (C) 2015 Elsevier Ltd. All rights reserved. |
| 资助项目 | Fundamental Research Funds for the Central Universities[HEUCFX41501] ; Key Laboratory of Systems and Control, Chinese Academy of Sciences ; National Natural Science Foundation of China[61174047] ; Program for New Century Excellent Talents in University of Ministry of Education of China ; Basic Research Foundation of Northwestern Polytechnical University[JC201230] ; Singapore-MIT Alliance for Science and Technology, National Research Foundation of Singapore[NRF2011NRF-CRP001-090] ; Singapore-MIT Alliance for Science and Technology, National Research Foundation of Singapore[NRF2013EWT-EIRP004-012] ; Natural Science Foundation of China under NSFC[61120106011] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000361073600020 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20771]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Kuize |
| 作者单位 | 1.Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Nanyang Technol Univ, Ctr E City, EXQUISITUS, Singapore 639798, Singapore 4.Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Kuize,Zhang, Lijun,Xie, Lihua. Invertibility and nonsingularity of Boolean control networks[J]. AUTOMATICA,2015,60:155-164. |
| APA | Zhang, Kuize,Zhang, Lijun,&Xie, Lihua.(2015).Invertibility and nonsingularity of Boolean control networks.AUTOMATICA,60,155-164. |
| MLA | Zhang, Kuize,et al."Invertibility and nonsingularity of Boolean control networks".AUTOMATICA 60(2015):155-164. |
入库方式： OAI收割
来源：数学与系统科学研究院
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