Set controllability for switched Boolean control networks

被引:20
作者
Zhang, Qiliang [1 ]
Feng, Jun-e [1 ]
Pan, Jinfeng [2 ]
Xia, Jianwei [3 ]
机构
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
[3] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
关键词
Switched Boolean control networks; Set controllability; Set stabilization; Switching signals design; Semi-tenor product of matrices; STABILIZATION; STATE; SYNCHRONIZATION; OBSERVABILITY; DECOMPOSITION; DYNAMICS; DESIGN;
D O I
10.1016/j.neucom.2019.05.087
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates the set controllability of switched Boolean control networks. Firstly, the set controllability matrix of switched Boolean control networks is presented via semi-tensor product of matrices and Warshall algorithm. Secondly, set stabilization problem and switched output regulation problem are transformed into set controllability problem. Based on it, necessary and sufficient conditions for the solvability of set stabilization problem and switched output regulation problem are obtained, respectively. Furthermore, the method is proposed for designing the switching signals driving the switched Boolean networks to be set controllable. Finally, examples are given to illustrate the effectiveness of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:476 / 482
页数:7
相关论文
共 37 条
  • [1] Stabilization, Controllability and Optimal Control of Boolean Networks With Impulsive Effects and State Constraints
    Chen, Hao
    Li, Xingde
    Sun, Jitao
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) : 806 - 811
  • [2] On hybrid control of higher order Boolean networks
    Chen, Hao
    Sun, Jitao
    [J]. NEUROCOMPUTING, 2014, 142 : 458 - 463
  • [3] Output controllability and optimal output control of state-dependent switched Boolean control networks
    Chen, Hao
    Sun, Jitao
    [J]. AUTOMATICA, 2014, 50 (07) : 1929 - 1934
  • [4] Observability of Boolean networks via set controllability approach
    Cheng, Daizhan
    Li, Changxi
    He, Fenghua
    [J]. SYSTEMS & CONTROL LETTERS, 2018, 115 : 22 - 25
  • [5] Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
  • [6] Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks
    Cowan, Noah J.
    Chastain, Erick J.
    Vilhena, Daril A.
    Freudenberg, James S.
    Bergstrom, Carl T.
    [J]. PLOS ONE, 2012, 7 (06):
  • [7] Time-optimal state feedback stabilization of switched Boolean control networks
    Ding, Yong
    Guo, Yuqian
    Xie, Yongfang
    Yang, Chunhua
    Gui, Weihua
    [J]. NEUROCOMPUTING, 2017, 237 : 265 - 271
  • [8] On the number of driver nodes for controlling a Boolean network when the targets are restricted to attractors
    Hou, Wenpin
    Ruan, Peiying
    Ching, Wai-Ki
    Akutsu, Tatsuya
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2019, 463 : 1 - 11
  • [9] Synchronization-based passivity of partially coupled neural networks with event-triggered communication
    Huang, Chi
    Wang, Wei
    Cao, Jinde
    Lu, Jianquan
    [J]. NEUROCOMPUTING, 2018, 319 : 134 - 143
  • [10] METABOLIC STABILITY AND EPIGENESIS IN RANDOMLY CONSTRUCTED GENETIC NETS
    KAUFFMAN, SA
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1969, 22 (03) : 437 - &