Control System on Boolean Networks through Semi Tensor Product Approach and Boolean Calculus
Optimization and Control
2020-08-20 v1
Abstract
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.
Cite
@article{arxiv.2008.08546,
title = {Control System on Boolean Networks through Semi Tensor Product Approach and Boolean Calculus},
author = {Souma Mazumdar},
journal= {arXiv preprint arXiv:2008.08546},
year = {2020}
}
Comments
14 pages, No Figure