Control design for output tracking of delayed Boolean control networks

被引：56

作者：

Liu, Yansheng ^{[1
]}

Zheng, Yating ^{[1
]}

Li, Haitao ^{[1
]}

Alsaadi, Fuad E. ^{[2
]}

Ahmad, Bashir ^{[3
]}

机构：

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

[2] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 327卷

基金：

中国国家自然科学基金;

关键词：

Boolean control network; Output tracking; Time delay; State constraints; Semi-tensor product of matrices; GENETIC REGULATORY NETWORKS; TIME DELAYS; CONTROLLABILITY; STATE; OBSERVABILITY; STABILITY; INPUTS;

D O I：

10.1016/j.cam.2017.06.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the output tracking control of delayed Boolean control networks (DBCNs) by using the algebraic state space representation method. Firstly, the output tracking control problem of DBCNs is formulated, and the dynamics of DBCNs is converted into an equivalent algebraic form. Secondly, based on the algebraic form and controllability of DBCNs, a necessary and sufficient condition is presented for the output tracking control of DBCNs without state constraints. Thirdly, a necessary and sufficient condition is presented for the output tracking control of DBCNs with state constraints by constructing a constrained reachability matrix. The study of an illustrative example shows the effectiveness of the obtained new results. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：188 / 195

页数：8

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