DocumentCode
3216317
Title
Vector metric of Boolean matrices and its application to stability and stabilization of Boolean networks
Author
Cheng, Daizhan ; Qi, Hongsheng ; Li, Zhiqiang
Author_Institution
Key Lab. of Syst. & Control, Chinese Acad. of Sci., Beijing, China
fYear
2010
fDate
9-11 June 2010
Firstpage
1747
Lastpage
1751
Abstract
The ring structure and Boolean variables are investigated and they are used to define the product of Boolean matrices. The logical operators have also been extended to the operators on Boolean matrices. Based on these, the vector distance between Boolean matrices is defined. Some properties are revealed. Finally, the vector distance is used to the analysis of the stability of Boolean networks and the stabilization of Boolean control networks.
Keywords
Boolean algebra; stability; vectors; boolean control network stabilization; boolean matrices; vector metric; Automatic control; Automation; Brain modeling; Cellular networks; Genetics; Jacobian matrices; Land mobile radio cellular systems; Stability analysis; Switches; Switching circuits; Boolean control network; Boolean matrix; Boolean ring; stability; stabilization;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location
Xiamen
ISSN
1948-3449
Print_ISBN
978-1-4244-5195-1
Electronic_ISBN
1948-3449
Type
conf
DOI
10.1109/ICCA.2010.5524146
Filename
5524146
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