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

IEEE Access

Zhen Wang¹  Liyun Tong²  Yang Liu²  Yuanyuan Li³  Fuad E. Alsaadi⁴  Jianquan Lu⁵ 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China;College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China;Department of Applied Mathematics, Nanjing Forestry University, Nanjing, China;Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;School of Mathematics, Southeast University, Nanjing, China;

关键词: Probabilistic Boolean control network;    event-triggered control;    semi-tensor product;    invariant set;   

DOI  :  10.1109/ACCESS.2018.2828128

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown