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Dynamics and control of singular boolean networks
Author(s) -
Qi Hongsheng,
Qiao Yupeng
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2198
Subject(s) - controllability , boolean network , algebraic number , mathematics , class (philosophy) , control (management) , boolean algebras canonically defined , matrix (chemical analysis) , complete boolean algebra , boolean function , discrete mathematics , topology (electrical circuits) , two element boolean algebra , pure mathematics , computer science , algebra over a field , combinatorics , mathematical analysis , algebra representation , artificial intelligence , materials science , composite material
Consider a class of singular Boolean networks, which consist of two parts: difference part and algebraic part. Using the truth matrix of the algebraic part, the trajectories of the networks are obtained and certain properties are investigated. Then the results are extended to Boolean control networks and the controllability of singular Boolean control systems is investigated. Necessary and sufficient conditions are obtained.