Existence and number of fixed points of Boolean transformations via the semi-tensor product method

DOI10.1016/J.AML.2012.02.023zbMath1246.15027OpenAlexW1992318190MaRDI QIDQ449342

Zhenbin Liu, Haitao Li, Yuzhen Wang

Publication date: 30 August 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.023

zbMATH Keywords

existencefixed pointsemi-tensor product of matrixBoolean transformations

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69)

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Cites Work

• Identification of Boolean control networks
• Fixed point theorems in Boolean vector spaces
• Input-state incidence matrix of Boolean control networks and its applications
• Controllability of Boolean control networks with time delays in states
• Controllability and observability of Boolean control networks
• Analysis and control of Boolean networks. A semi-tensor product approach.
• Stability and stabilization of Boolean networks
• Boolean transformations with unique fixed points
• A Linear Representation of Dynamics of Boolean Networks
• A Maximum Principle for Single-Input Boolean Control Networks
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