Invariant Subspace Approach to Boolean (Control) Networks
Systems and Control
2021-04-20 v1 Systems and Control
Abstract
A logical function can be used to characterizing a property of a state of Boolean network (BN), which is considered as an aggregation of states. To illustrate the dynamics of a set of logical functions, which characterize our concerned properties of a BN, the invariant subspace containing the set of logical functions is proposed, and its properties are investigated. Then the invariant subspace of Boolean control network (BCN) is also proposed. The dynamics of invariant subspace of BCN is also invariant. Finally, using outputs as the set of logical functions, the minimum realization of BCN is proposed, which provides a possible solution to overcome the computational complexity of large scale BNs/BCNs.
Keywords
Cite
@article{arxiv.2104.08837,
title = {Invariant Subspace Approach to Boolean (Control) Networks},
author = {Daizhan Cheng and Lijun Zhang and Dongyao Bi},
journal= {arXiv preprint arXiv:2104.08837},
year = {2021}
}
Comments
23 pages, 5 figures