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

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

doi:10.1109/access.2018.2828128

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

Liyun Tong, Zhen Wang + Show 4 more

Open Access

https://doi.org/10.1109/access.2018.2828128

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Journal: IEEE Access	Publication Date: Jan 1, 2018
Citations: 84	License type: cc-by-nc-nd

Affiliation: Zhejiang Normal University, Shandong University of Science and Technology, Southeast University, King Abdulaziz University, Nanjing Forestry University

#Event-triggered Controller #Robust Control Invariant Set + Show 8 more

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Abstract

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-triggeredcontroller (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.

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