Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks

被引：40
|
作者：
Tong, Liyun [1 ]
Liu, Yang [1 ]
Lou, Jungang [2 ]
Lu, Jianquan [3 ]
Alsaadi, Fuad E. [4 ]
机构：
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Huzhou Univ, Sch Informat Engn, Huzhou 313000, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Sch Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 332卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Context-sensitive probabilistic Boolean control network; Set stabilization; Semi-tensor product; Static output feedback control; OBSERVER DESIGN; CONTROLLABILITY; STABILITY; OBSERVABILITY; SYNCHRONIZATION; DISCRETE;
D O I：
10.1016/j.amc.2018.03.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the static output feedback set stabilization for context-sensitive probabilistic Boolean control networks (CS-PBCNs) via the semi-tensor product of matrices. An algorithm for finding the largest control invariant set with probability one is obtained by the algebraic representations of logical dynamics. Based on the analysis of the set stabilization, necessary and sufficient conditions for S-stabilization are obtained. Static output feedback controllers are designed to achieve S-stabilization for a CS-PBCN. At last, examples to study metastatic melanoma are given to show the effectiveness of our main results. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：263 / 275
页数：13
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