Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control

Liyun Tong; Yang Liu; Yuanyuan Li; Jianquan Lu; Zhen Wang; Fuad E. Alsaadi

doi:10.1109/ACCESS.2018.2828128

IEEE Access (Jan 2018)

Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control

Liyun Tong,
Yang Liu,
Yuanyuan Li,
Jianquan Lu,
Zhen Wang,
Fuad E. Alsaadi

Affiliations

Liyun Tong: College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Yang Liu: College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Yuanyuan Li: Department of Applied Mathematics, Nanjing Forestry University, Nanjing, China
Jianquan Lu: ORCiD; School of Mathematics, Southeast University, Nanjing, China
Zhen Wang: ORCiD; College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
Fuad E. Alsaadi: Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

DOI: https://doi.org/10.1109/ACCESS.2018.2828128
Journal volume & issue: Vol. 6
pp. 37767 – 37774

Abstract

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This paper investigates the robust control invariance of probabilistic Boolean control networks via the technique of semi-tensor product. Some essential conditions are obtained to check whether the set is a robust event-triggered control invariant set (RETCIS) through the given event-triggered-controller (ETC). Moreover, an algorithm is designed for ETC to ensure that the given set is RETCIS. At last, a model of the apoptosis network shows the effectiveness of the main results.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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