Output tracking of probabilistic Boolean networks by output feedback control

Shiyong Zhu,Jianquan Lu,Yang Liu,Tingwen Huang,Jürgen Kurths

doi:10.1016/j.ins.2018.12.087

Output tracking of probabilistic Boolean networks by output feedback control

Shiyong Zhu, Jianquan Lu + Show 3 more

https://doi.org/10.1016/j.ins.2018.12.087

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Journal: Information sciences	Publication Date: Jan 3, 2019
Citations: 39

Affiliation: Southeast University, Linyi University, Zhejiang Normal University, Texas A&M University at Qatar, Saratov State University, Potsdam Institute for Climate Impact Research

#Probabilistic Boolean Control Networks #Output Feedback Control + Show 8 more

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Abstract

In this paper, we deal with the output tracking of probabilistic Boolean control networks (PBCNs) via output feedback control. Firstly, the algebraic representation of PBCNs is obtained by resorting to semi-tensor product (STP) technique. Then, a novel notion, named as output feedback based control invariant set (OFBCIS), is offered. Meanwhile, an algorithm is developed to find all OFBCISs in a given set. Consequently, some necessary and sufficient conditions are derived for the solvability of output tracking problem under output feedback control. Besides, all feasible output feedback laws are solved by another constructed algorithm. Finally, two numerical examples are exhibited to illustrate the effectiveness of the theoretic results.

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