2020/08/19 by Souma Mazumdar, Mazumdar, Souma
Biochemistry, Genetics and Molecular Biology · Mathematics · #93B03 #93B05 #93B28 #FOS: Mathematics #Gene Regulatory Network Analysis #Optimization and Control (math.OC) #math.OC #msc:93B03 #msc:93B05 #msc:93B28
paper · pdf · doi:10.48550/arxiv.2008.08546
14 pages, No Figure
arxiv created 2020/08/19 · openalex publication_date 2020/08/19 · arxiv updated 2020/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have considered a Boolean control network where the state evolution equations depend on past states, controls and first derivatives of a function with respect to controls. Total approach has been the efficient use of matrix semi tensor product and logical operators and logical equations. We have obtained a absolutely new result in considering the derivative terms to play a role to influence the states. We have discussed about controllability with an example and also optimal control and its significance in control theory.