Synchronization of drive-response singular Boolean networks

被引：9
|
作者：
Zhao, Rong [1 ]
Wang, Biao [2 ]
Feng, Jun-e [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Shandong Univ, Sch Management, Jinan 250100, Shandong, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2022年 / 44卷
基金：
中国国家自然科学基金;
关键词：
Cheng product; Singular Boolean networks; Solvability; Synchronization; TIME-VARYING DELAYS; CONTROLLABILITY; OBSERVABILITY; STABILITY; CRITERIA;
D O I：
10.1016/j.nahs.2021.101141
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Network synchronization, explicating typical collective behaviors of coupled systems, plays a crucial role in social production and life. This paper addresses the synchronization problem of drive-response singular Boolean networks (SBNs). The solvability of drive- response SBNs is investigated based on the matrix representation. In view of the existence and uniqueness of the solutions to drive-response SBNs, three types of concepts, synchronization, strong synchronization and weak synchronization, are put forward for the first time. By two new systems, a restricted BN and a switched restricted BN, which are constructed from the considered systems, several synchronization conditions are provided to deal with the circumstances of unique solutions and multiple solutions, respectively. Besides, the synchronous ratio is defined to characterize the synchronization capability of drive-response SBNs for the case of multiple solutions. Finally, several examples are given to illustrate the effectiveness of the obtained results. (C)& nbsp;2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：21
相关论文
共 50 条
  • [11] Impulsive synchronization of drive-response chaotic delayed neural networks
    Wu, Zhaoyan
    Leng, Hui
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [12] Impulsive synchronization of drive-response chaotic delayed neural networks
    Zhaoyan Wu
    Hui Leng
    [J]. Advances in Difference Equations, 2016
  • [13] Synchronization of drive-response networks with event-based pinning control
    Jia, Qiang
    Bram, Andrew K.
    Han, Zeyu
    [J]. Neural Computing and Applications, 2021, 33 (14) : 8649 - 8658
  • [14] Generalized synchronization in a drive-response system
    Yang Jun-Zhong
    Zhang Mei
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (02) : 391 - 395
  • [15] Generalized Synchronization in a Drive-Response System
    YANG Jun-Zhong~1 ZHANG Mei~2 1 School of Science
    [J]. Communications in Theoretical Physics, 2008, 49 (02) : 391 - 395
  • [16] Global synchronization of drive-response dynamical networks subject to input nonlinearity
    Li, Rong
    Duan, Zhisheng
    Chen, Guanrong
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (38)
  • [17] Adaptive Impulsive Outer Synchronization Between Drive-Response Dynamical Networks
    Wu Zhao-Yan
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (05) : 590 - 594
  • [18] Adaptive pinning control for the projective synchronization of drive-response dynamical networks
    Xiao, Jiang-Wen
    Wang, Zhi-Wei
    Miao, Wen-Tuan
    Wang, Yan-Wu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (05) : 2780 - 2788
  • [19] Synchronization of drive-response networks with event-based pinning control
    Qiang Jia
    Andrew K. Bram
    Zeyu Han
    [J]. Neural Computing and Applications, 2021, 33 : 8649 - 8658
  • [20] Synchronization of drive-response networks with event-based pinning control
    Jia, Qiang
    Bram, Andrew K.
    Han, Zeyu
    [J]. NEURAL COMPUTING & APPLICATIONS, 2021, 33 (14): : 8649 - 8658
12345