Output stability and stabilization of Boolean control networks
LI Zhi-qiang
XIAO Hui-min
Abstract：Semi-tensor product of matrices is the main tool in converting logical variable to its vector form. Using semi-tensor product of matrices, the logical dynamical system is converted to discrete time affine linear system. Under framework of state space expression of Boolean network,the output stability and output stabilization are discussed in this paper. First,the definition of output stability of Boolean network is given,and the necessary and sufficient condition for output stability of Boolean network is obtained.Second,the output stabilization of Boolean control network is investigated and the different conditions for output stabilization are obtained. The output stability and stabilization discussed in this paper are generalizations of the known state stability and stabilization.
Keywords：Boolean control networksemi-tensor product of matricesoutput stabilityoutput stabilization
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1201-1207 )