Sampled-data stabilization of probabilistic Boolean control networks

被引：52
|
作者：
Liu, Yang [1 ,2 ]
Wang, Liqing [2 ]
Lu, Jianquan [1 ]
Cao, Jinde [1 ,3 ]
机构：
[1] Southeast Univ, Sch Math, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Jiangsu, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Nantong Univ, Sch Elect Engn, Nantong 226000, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2019年 / 124卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Sampled-data control; Probabilistic Boolean control network; Semi-tensor product; Stabilization; STATE-FEEDBACK STABILIZATION; CONTROL DESIGN; SYNCHRONIZATION; DECOMPOSITION; GAMES;
D O I：
10.1016/j.sysconle.2018.12.012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Probabilistic Boolean networks (PBNs) are discrete-time systems composed of a family of Boolean networks (BNs), between which the PBN switches in a stochastic fashion. In this paper, we address the stabilization of probabilistic Boolean control networks (PBCNs) via a sampled-data state feedback controller (SDSFC). Based on the algebraic representation of logical functions, a necessary and sufficient condition is derived for the existence of SDSFCs for the global stabilization of PBCNs, and the controller is further designed. A biological example is presented to illustrate the effectiveness of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：106 / 111
页数：6
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