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A Linear Representation of Dynamics of Boolean Networks
文献类型：期刊论文
| 作者 | Cheng, Daizhan ; Qi, Hongsheng
|
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2010-10-01 |
| 卷号 | 55期号:10页码:2251-2258 |
| 关键词 | Boolean network cycle fixed point semi-tensor product transient period |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2010.2043294 |
| 英文摘要 | A new matrix product, called semi-tensor product of matrices, is reviewed. Using it, a matrix expression of logic is proposed, where a logical variable is expressed as a vector, a logical function is expressed as a multiple linear mapping. Under this framework, a Boolean network equation is converted into an equivalent algebraic form as a conventional discrete-time linear system. Analyzing the transition matrix of the linear system, formulas are obtained to show a) the number of fixed points; b) the numbers of cycles of different lengths; c) transient period, for all points to enter the set of attractors; and d) basin of each attractor. The corresponding algorithms are developed and used to some examples. |
| 资助项目 | National Natural Science Foundation (NNSF) of China[60736022] ; National Natural Science Foundation (NNSF) of China[60821091] ; National Natural Science Foundation (NNSF) of China[SIC 07010201] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000283362600003 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10631]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Cheng, Daizhan |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Daizhan,Qi, Hongsheng. A Linear Representation of Dynamics of Boolean Networks[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2010,55(10):2251-2258. |
| APA | Cheng, Daizhan,&Qi, Hongsheng.(2010).A Linear Representation of Dynamics of Boolean Networks.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,55(10),2251-2258. |
| MLA | Cheng, Daizhan,et al."A Linear Representation of Dynamics of Boolean Networks".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 55.10(2010):2251-2258. |
入库方式： OAI收割
来源：数学与系统科学研究院
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