Attractor and Stability of Delayed Boolean Networks with State Constraints

被引：0

作者：

Zheng Yating ^{[1
]}

Li Haitao ^{[1
]}

Xu Xiaojing ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年

基金：

中国国家自然科学基金;

关键词：

Delayed Boolean Network; Attractor; Stability; State Constraint; Semi-Tensor Product of Matrices; GENETIC REGULATORY NETWORKS; TIME DELAYS; CONTROLLABILITY; OBSERVABILITY; SYNCHRONIZATION; STABILIZATION; DESIGN; INPUTS;

D O I：

暂无

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 investigates the attractor and stability of delayed Boolean networks (DBNs) with/without state constraints by using the semi-tensor product of matrices. Firstly, the dynamics of DBNs with/without state constraints is converted into an equivalent algebraic form via the semi-tensor product of matrices. Secondly, based on the algebraic form, a new formula is proposed for the calculation of number of attractors for DBNs with state constraints. Thirdly, a necessary and sufficient condition is presented for the stability of DBNs with state constraints. Finally, an example is worked out to show the application of the obtained new results.

引用

页码：338 / 342

页数：5

共 41 条

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