A state-flipped approach to complete synchronization of Boolean networks

被引：11
|
作者：
Du, Leihao [1 ]
Zhang, Zhipeng [2 ]
Xia, Chengyi [2 ]
机构：
[1] Tianjin Univ Technol, Tianjin Key Lab Intelligence Comp & Novel Software, Tianjin 300384, Peoples R China
[2] Tiangong Univ, Sch Artificial Intelligence, Tianjin 300387, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 443卷
基金：
中国国家自然科学基金;
关键词：
Logical dynamical system; Boolean networks; Semi-tensor product of matrices; State-flipped control; Synchronization; CLUSTER SYNCHRONIZATION; STABILIZATION; STABILITY; DESIGN; MODELS; MACHINE;
D O I：
10.1016/j.amc.2022.127788
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
State flipping is an effective control method that has just recently been proposed. In this paper, the state-flipped mechanism is introduced to implement the complete synchroniza-tion problem of BNs by use of the semi-tensor product (STP) of matrices. Firstly, an al-gebraic expression of BNs with state-flipped mechanism is constructed, and under such representation, the validation conditions for the existence of the complete synchronization of drive-response BNs are derived. Subsequently, the synchronization results with state -flipped control of the above system is further extended to more general BNs by analyz-ing the synchronous flip sequence. Meanwhile, some algorithms are developed to find and determine the corresponding sequence of synchronous flips and the set of minimum syn-chronous flips. Finally, several typical numerical examples are offered in detail to demon-strate the validity of obtained results. To sum up, the current research may further enrich and develop the study of network synchronization problem.(c) 2022 Elsevier Inc. All rights reserved.
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页数：14
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