The Solvability of Output Regulation Problem for Boolean Networks with Disturbance Inputs under One-Bit Function Perturbation
CAO Xiujun
FU Shihua
ZHAO Jianli
LI Xinling
Abstract：This article investigates the output regulation problem of Boolean networks with disturbance in-puts under one-bit function perturbation.First,with the help of the semi-tensor product of matrices,the algebraic forms of Boolean networks with disturbances and the reference system are established,respec-tively.Then,by constructing an augmented system,the output regulation problem is transformed into the robust set stability problem of the augmented system.Moreover,by constructing a sequence of state sets,several criteria are obtained to verify whether the output of the Boolean networks with disturbances can still track the output of the reference system after function perturbation.Finally,an example is given to verify the effectiveness of the results obtained in this paper.
Keywords：Boolean networksoutput regulationdisturbance inputone-bit function perturbationsemi-tensor product of matrices
Publication Date：2025-04-27
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：11( 159-169 )