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
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;
Conference_Titel :
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-5195-1
Electronic_ISBN :
1948-3449
DOI :
10.1109/ICCA.2010.5524146
