Impulsive control design for output tracking of probabilistic Boolean control networks

被引：4

作者：

Wang, Jing ^{[1
]}

Liu, Yansheng ^{[1
]}

Li, Haitao ^{[1
]}

机构：

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

来源：

IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 17期

基金：

中国国家自然科学基金;

关键词：

set theory; Lyapunov methods; Boolean algebra; linear systems; state-space methods; matrix algebra; discrete time systems; stability; control system synthesis; nonlinear control systems; controllability; probability; state feedback; asymptotic stability; considered impulsive PBCN; largest control invariant subset; state feedback controller; impulsive control design; probabilistic Boolean control networks; algebraic state-space representation method; augmented control; impulsive time; STATE-FEEDBACK STABILIZATION; GENETIC REGULATORY NETWORKS; CONTROLLABILITY; STABILITY; SYSTEMS; OBSERVABILITY; MODELS;

D O I：

10.1049/iet-cta.2020.0347

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 study investigates the impulsive control for the output tracking of probabilistic Boolean control networks (PBCNs) by the algebraic state-space representation method. Firstly, a novel system with augmented control is established by regarding the impulsive time as a special kind of control, which is equivalent to the considered impulsive PBCN (IPBCN). Secondly, based on the largest control invariant subset, a necessary and sufficient condition is proposed to design impulsive control for the output tracking problem of IPBCNs. Moreover, a constructive method is put forward to design the state feedback controller and state-dependent impulsive time sequence. Finally, an example is given to demonstrate the effectiveness of the obtained results.

引用

页码：2688 / 2695

页数：8

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