Complete synchronization of coupled Boolean networks with arbitrary finite delays

被引：6
作者：
Liu, Jie [1 ]
Li, Lulu [1 ]
Fardoun, Habib M. [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
[2] King Abdulaziz Univ, Fac Comp & Informat Technol, Dept Informat Syst, Jeddah 21589, Saudi Arabia
来源：
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING | 2020年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Boolean networks; Synchronization; Time delay; O233; STABILIZATION; STABILITY;
D O I：
10.1631/FITEE.1900438
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, the complete synchronization problem of coupled delayed Boolean networks (CDBNs) is investigated. The state delays and output delays may not be equal, and the state delay in each Boolean network may be different in the proposed CDBN model. Based on the semi-tensor product of matrices, a necessary and sufficient condition for the complete synchronization of CDBNs is obtained. Then, an efficient algorithm for solving the synchronization of CDBNs is provided. Finally, numerical examples are presented to demonstrate the effectiveness of our algorithm.
引用
收藏
页码：281 / 293
页数：13
相关论文
共 39 条
  • [1] A Linear Representation of Dynamics of Boolean Networks
    Cheng, Daizhan
    Qi, Hongsheng
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2251 - 2258
  • [2] Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
  • [3] Fault Detection Analysis of Boolean Control Networks
    Fornasini, Ettore
    Valcher, Maria Elena
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) : 2734 - 2739
  • [4] Set stability and set stabilization of Boolean control networks based on invariant subsets
    Guo, Yuqian
    Wang, Pan
    Gui, Weihua
    Yang, Chunhua
    [J]. AUTOMATICA, 2015, 61 : 106 - 112
  • [5] Finding cycles in synchronous Boolean networks with applications to biochemical systems
    Heidel, J
    Maloney, J
    Farrow, C
    Rogers, JA
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (03): : 535 - 552
  • [6] Stabilization of probabilistic Boolean networks via pinning control strategy
    Huang, Chi
    Lu, Jianquan
    Ho, Daniel W. C.
    Zhai, Guisheng
    Cao, Jinde
    [J]. INFORMATION SCIENCES, 2020, 510 : 205 - 217
  • [7] METABOLIC STABILITY AND EPIGENESIS IN RANDOMLY CONSTRUCTED GENETIC NETS
    KAUFFMAN, SA
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1969, 22 (03) : 437 - &
  • [8] Design of Probabilistic Boolean Networks Based on Network Structure and Steady-State Probabilities
    Kobayashi, Koichi
    Hiraishi, Kunihiko
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (08) : 1966 - 1971
  • [9] Observability of Boolean networks: A graph-theoretic approach
    Laschov, Dmitriy
    Margaliot, Michael
    Even, Guy
    [J]. AUTOMATICA, 2013, 49 (08) : 2351 - 2362
  • [10] The Outputs Robustness of Boolean Control Networks via Pinning Control
    Li, Bowen
    Lu, Jianquan
    Liu, Yang
    Wu, Zheng-Guang
    [J]. IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2020, 7 (01): : 201 - 209
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