Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks

Xinyi Chen; Yiliang Li; Jin Wang; Jun E. Feng

doi:10.23919/CCC63176.2024.10662111

Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks

Xinyi Chen^*
, Yiliang Li
, Jin Wang
, Jun E. Feng

^*Corresponding author for this work

Shandong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Singular conjunctive Boolean networks are finite valued dynamic systems with special logical functions, which have several special mathematical properties. Based on 'and' operator, this paper studies the existence and uniqueness of solution and fixed points for singular conjunctive Boolean networks. Firstly, using the special properties of 'and' operator, the singular conjunctive Boolean networks are transformed into vector expressions. Based on these vector representations, the existence and uniqueness of solution for singular conjunctive Boolean networks are discussed. In addition, fixed points of singular conjunctive Boolean networks are explored. Finally, an example is used to verify the obtained results.

Original language	English
Title of host publication	Proceedings of the 43rd Chinese Control Conference, CCC 2024
Editors	Jing Na, Jian Sun
Publisher	IEEE Computer Society
Pages	134-139
Number of pages	6
ISBN (Electronic)	9789887581581
DOIs	https://doi.org/10.23919/CCC63176.2024.10662111
State	Published - 2024
Externally published	Yes
Event	43rd Chinese Control Conference, CCC 2024 - Kunming, China Duration: 28 Jul 2024 → 31 Jul 2024

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	43rd Chinese Control Conference, CCC 2024
Country/Territory	China
City	Kunming
Period	28/07/24 → 31/07/24

Keywords

Fixed points
Singular conjunctive Boolean networks
Uniqueness of solution

Access to Document

10.23919/CCC63176.2024.10662111

Cite this

@inproceedings{6be91acc8b2042dfb4c36350ce60a698,

title = "Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks",

abstract = "Singular conjunctive Boolean networks are finite valued dynamic systems with special logical functions, which have several special mathematical properties. Based on 'and' operator, this paper studies the existence and uniqueness of solution and fixed points for singular conjunctive Boolean networks. Firstly, using the special properties of 'and' operator, the singular conjunctive Boolean networks are transformed into vector expressions. Based on these vector representations, the existence and uniqueness of solution for singular conjunctive Boolean networks are discussed. In addition, fixed points of singular conjunctive Boolean networks are explored. Finally, an example is used to verify the obtained results.",

keywords = "Fixed points, Singular conjunctive Boolean networks, Uniqueness of solution",

author = "Xinyi Chen and Yiliang Li and Jin Wang and Feng, \{Jun E.\}",

note = "Publisher Copyright: {\textcopyright} 2024 Technical Committee on Control Theory, Chinese Association of Automation.; 43rd Chinese Control Conference, CCC 2024 ; Conference date: 28-07-2024 Through 31-07-2024",

year = "2024",

doi = "10.23919/CCC63176.2024.10662111",

language = "英语",

series = "Chinese Control Conference, CCC",

publisher = "IEEE Computer Society",

pages = "134--139",

editor = "Jing Na and Jian Sun",

booktitle = "Proceedings of the 43rd Chinese Control Conference, CCC 2024",

address = "美国",

}

Chen, X, Li, Y, Wang, J & Feng, JE 2024, Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks. in J Na & J Sun (eds), Proceedings of the 43rd Chinese Control Conference, CCC 2024. Chinese Control Conference, CCC, IEEE Computer Society, pp. 134-139, 43rd Chinese Control Conference, CCC 2024, Kunming, China, 28/07/24. https://doi.org/10.23919/CCC63176.2024.10662111

Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks. / Chen, Xinyi; Li, Yiliang; Wang, Jin et al.
Proceedings of the 43rd Chinese Control Conference, CCC 2024. ed. / Jing Na; Jian Sun. IEEE Computer Society, 2024. p. 134-139 (Chinese Control Conference, CCC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks

AU - Chen, Xinyi

AU - Li, Yiliang

AU - Wang, Jin

AU - Feng, Jun E.

PY - 2024

Y1 - 2024

N2 - Singular conjunctive Boolean networks are finite valued dynamic systems with special logical functions, which have several special mathematical properties. Based on 'and' operator, this paper studies the existence and uniqueness of solution and fixed points for singular conjunctive Boolean networks. Firstly, using the special properties of 'and' operator, the singular conjunctive Boolean networks are transformed into vector expressions. Based on these vector representations, the existence and uniqueness of solution for singular conjunctive Boolean networks are discussed. In addition, fixed points of singular conjunctive Boolean networks are explored. Finally, an example is used to verify the obtained results.

AB - Singular conjunctive Boolean networks are finite valued dynamic systems with special logical functions, which have several special mathematical properties. Based on 'and' operator, this paper studies the existence and uniqueness of solution and fixed points for singular conjunctive Boolean networks. Firstly, using the special properties of 'and' operator, the singular conjunctive Boolean networks are transformed into vector expressions. Based on these vector representations, the existence and uniqueness of solution for singular conjunctive Boolean networks are discussed. In addition, fixed points of singular conjunctive Boolean networks are explored. Finally, an example is used to verify the obtained results.

KW - Fixed points

KW - Singular conjunctive Boolean networks

KW - Uniqueness of solution

UR - https://www.scopus.com/pages/publications/85205501876

U2 - 10.23919/CCC63176.2024.10662111

DO - 10.23919/CCC63176.2024.10662111

M3 - 会议稿件

AN - SCOPUS:85205501876

T3 - Chinese Control Conference, CCC

SP - 134

EP - 139

BT - Proceedings of the 43rd Chinese Control Conference, CCC 2024

A2 - Na, Jing

A2 - Sun, Jian

PB - IEEE Computer Society

T2 - 43rd Chinese Control Conference, CCC 2024

Y2 - 28 July 2024 through 31 July 2024

ER -

Uniqueness of Solution and Fixed Points Analysis for Singular Conjunctive Boolean Networks

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Keywords

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