Output tracking of probabilistic Boolean networks by output feedback control

被引：47

作者：

Zhu, Shiyong ^{[1
]}

Lu, Jianquan ^{[1
,2
]}

Liu, Yang ^{[3
]}

Huang, Tingwen ^{[4
]}

Kurths, Juergen ^{[5
,6
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China

[3] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[4] Texas A&M Univ Qatar, Doha 23874, Qatar

[5] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany

[6] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

INFORMATION SCIENCES | 2019年 / 483卷

基金：

中国国家自然科学基金;

关键词：

Probabilistic Boolean control networks; Semi-tensor product; Output feedback based control invariant set; Output tracking problem; STABILIZATION CONTROL DESIGN; SET STABILIZATION; STABILITY; MODEL;

D O I：

10.1016/j.ins.2018.12.087

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：96 / 105

页数：10

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