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Robust Invariant Set Analysis of Boolean Networks
Joint Authors
Li, Bowen
Lou, Jungang
Liu, Yang
Wang, Zhen
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Bowen& Lou, Jungang& Liu, Yang& Wang, Zhen. 2019. Robust Invariant Set Analysis of Boolean Networks. Complexity،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1131273
Modern Language Association (MLA)
Li, Bowen…[et al.]. Robust Invariant Set Analysis of Boolean Networks. Complexity No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1131273
American Medical Association (AMA)
Li, Bowen& Lou, Jungang& Liu, Yang& Wang, Zhen. Robust Invariant Set Analysis of Boolean Networks. Complexity. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1131273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131273