Controllability of state-triggered random impulsive Boolean control networks
ZHOU Jun-lan
ZHOU Rong-pei
Abstract：Based on a hybrid-index model,this paper investigates the controllability of a class of random impulsive Boolean control networks triggered by states.In this model,the condition of impulse triggering depends on the current state,while the state of the network is regulated by the factor of jumping probability.Firstly,using the semi-tensor product of matrices,we obtain the algebraic form of the hybrid-index model for random impulse Boolean control networks.In order to avoid Zeno phenomenon,this paper introduces forward completeness and derives the necessary and sufficient condition for the forward completeness of the network.On the basis of the definition of controllability,a new matrix power operation is constructed to derive the maximum state transfer probability matrix,and then an equivalent criterion for the controllability of the random impulse Boolean control network is obtained.Finally,the validity of the results is verified by simulations.
Keywords：Boolean control networkscontrollabilitystate-triggered random impulsessemi-tensor product of matrices
Publication Date：2025-04-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 787-795 )