Abstract
The stability of Boolean networks and stabilization of Boolean control networks are discussed.By using the method of semi-tensor product of matrices and the matrix expression of logic,the dynamics of Boolean network can be represented as a discrete-time dynamic system,then it is converted into an algebraic form.Then the one-to-one correspondence between the structure matrix of the algebraic form and a digital transformation is established.Finally,by using the method of digital transformation,necessary and sufficient conditions for the stability and stabilization of Boolean networks are obtained.
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