State feedback based output tracking control of probabilistic Boolean networks

被引：65

作者：

Li, Haitao ^{[1
]}

Wang, Yuzhen ^{[2
]}

Guo, Peilian ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

来源：

INFORMATION SCIENCES | 2016年 / 349卷

基金：

中国国家自然科学基金;

关键词：

Probabilistic Boolean network; Output tracking; State feedback; Control design; Semi-tensor product of matrices; CONTROLLABILITY; OBSERVABILITY; STABILIZATION; STABILITY; SYSTEMS;

D O I：

10.1016/j.ins.2016.02.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the state feedback based output tracking control of probabilistic Boolean control networks (PBCNs) by using the semi-tensor product of matrices. A series of reachable sets (with probability 1) is defined inductively for PBCNs, and some useful properties are obtained for the reachable sets. Based on the properties of the reachable sets, a necessary and sufficient condition is presented for the state feedback based output tracking control of PBCNs. Meanwhile, a constructive procedure is proposed to design state feedback laws for PBCNs to track a constant reference signal. The study of two illustrative examples shows that the obtained new results are very effective. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1 / 11

页数：11

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