Title :
Algebraic conditions for system decomposition of Boolean control networks
Author :
Yunlei Zou ; Jiandong Zhu
Author_Institution :
Sch. of Math. Sci., Nanjing Normal Univ., Nanjing, China
Abstract :
This paper proposes a new approach to solve the system decomposition problem of Boolean control networks (BCNs). Firstly, based on the linear representation of BCNs, some algebraic equivalent conditions are proposed. Secondly, based on the algebraic conditions, a necessary and sufficient condition for the system decomposability of BCNs is obtained. Finally, an example is given to illustrate the effectiveness of obtained results.
Keywords :
Boolean algebra; control system analysis; linear systems; matrix decomposition; tensors; BCNs; Boolean control networks; algebraic equivalent conditions; linear representation; necessary condition; semitensor product; sufficient condition; system decomposition problem; Bismuth; Educational institutions; Genetics; Kalman filters; Manganese; Matrix converters; Matrix decomposition; Boolean control networks; Semi-tensor product; System decomposition;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897042