Article thumbnail

Robust Invariant Set Analysis of Boolean Networks

By Bowen Li, Jungang Lou, Yang Liu and Zhen Wang

Abstract

In this paper, the robust invariant set (RIS) of Boolean (control) networks with disturbances is investigated. First, for a given fixed point, consider a special set called immediate neighborhoods of the fixed point; then a discrete derivative of Boolean functions at the fixed point is used to analyze the robust invariance, based on which a sufficient condition is obtained. Second, for more general sets, the robust output control invariant set (ROCIS) of Boolean control networks (BCNs) is investigated by semitensor product (STP) of matrices. Then, under a given output feedback controller, we obtain a necessary and sufficient condition to check whether a given set is robust control invariant set (RCIS). Furthermore, output feedback controllers are designed to make a set to be a RCIS. Finally, the proposed methods are illustrated by a reduced model of the lac operon in E. coli

Topics: Electronic computers. Computer science, QA75.5-76.95
Publisher: Hindawi Limited
Year: 2019
DOI identifier: 10.1155/2019/2731395
OAI identifier: oai:doaj.org/article:992ab7333d834128a6030fd5c6b81f1c
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/1099-0526 (external link)
  • http://dx.doi.org/10.1155/2019... (external link)
  • https://doaj.org/toc/1076-2787 (external link)
  • https://doaj.org/article/992ab... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.