Title :
Revisiting singular Boolean networks
Author :
Min Meng ; Jun-e Feng
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
fDate :
May 31 2014-June 2 2014
Abstract :
The general singular Boolean networks (SBNs) are proposed in this paper according to the algebraic form of dynamic-algebraic Boolean networks. First, the solvability theorems of this kind SBNs are presented. Then, the transition matrix of an SBN is defined, based on which the results on fixed points and cycles of SBNs are obtained. Furthermore, general singular Boolean control networks (SBCNs) are discussed, as well as the solvability of SBCNs. Several examples illustrate the feasibility of the theoretical results.
Keywords :
Boolean algebra; computability; matrix algebra; SBCN solvability; SBN; algebraic form; dynamic-algebraic Boolean networks; general singular Boolean control networks; solvability theorem; transition matrix; Biological system modeling; Educational institutions; Manganese; Matrix converters; Power system stability; Standards; Vectors; Semi-tensor product; Singular Boolean networks; Solvability theorem; Transition matrix;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852814
