Cascading state-space decomposition of Boolean control networks

被引：0
|
作者：
Zou Yunlei [1 ]
Zhu Jiandong [2 ]
Liu Yurong [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
2018 37TH CHINESE CONTROL CONFERENCE (CCC) | 2018年
基金：
中国国家自然科学基金;
关键词：
Boolean control network; Semi-tensor product; Nested block matrix; Cascading form; CONTROL DESIGN; STABILITY; STABILIZATION; SYNCHRONIZATION;
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：
In this paper, we study the cascading state-space decomposition problem for Boolean control networks by nested method. Firstly, based on the algebraic forms of BCNs, we give several algebraic criterions for the cascading state-space decomposable of BCNs. Secondly, we propose the concepts of multi-layer nested block matrix, and obtain two sufficient and necessary conditions for the cascading state-space decomposition of BCNs. Furthermore, a method is given to design controllers. Finally, an example is given to display the effectiveness of the method provided in this paper.
引用
收藏
页码：6326 / 6331
页数：6
相关论文
共 50 条
  • [21] DECOMPOSITION OF HESSENBERG DAE SYSTEMS TO STATE-SPACE FORM
    CLARK, KD
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 172 : 33 - 55
  • [22] State-space control theory based analysis of feedforward neural networks.
    Craddock, RJ
    Warwick, K
    [J]. IEEE WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE, 1998, : 1383 - 1387
  • [23] State-Space Representations of Deep Neural Networks
    Hauser, Michael
    Gunn, Sean
    Saab, Samer, Jr.
    Ray, Asok
    [J]. NEURAL COMPUTATION, 2019, 31 (03) : 538 - 554
  • [24] STATE-SPACE ANALYSIS OF ACTIVE RLC NETWORKS
    HUSEYIN, O
    [J]. ARCHIV FUR ELEKTRONIK UND UBERTRAGUNGSTECHNIK, 1973, 27 (02): : 91 - 96
  • [25] State-space modeling for control based on physics-informed neural networks
    Arnold, Florian
    King, Rudibert
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2021, 101
  • [26] Reliability evaluation of multistate networks: An improved algorithm using state-space decomposition and experimental comparison
    Bai, Guanghan
    Tian, Zhigang
    Zuo, Ming J.
    [J]. IISE TRANSACTIONS, 2018, 50 (05) : 407 - 418
  • [27] REMARKS ON EQUILIBRIUM STATE ACHIEVEMENT IN STATE-SPACE CONTROL
    STREJC, V
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1989, 18 (6-7) : 643 - 649
  • [28] Algebraic Conditions for System Decomposition of Boolean Control Networks
    Zou, Yunlei
    Zhu, Jiandong
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2580 - 2585
  • [29] System decomposition with respect to inputs for Boolean control networks
    Zou, Yunlei
    Zhu, Jiandong
    [J]. AUTOMATICA, 2014, 50 (04) : 1304 - 1309
  • [30] Predictive Control of Fractional State-space Model
    Hcheichi, Khaled
    Bouani, Faouzi
    [J]. 2017 INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND DIAGNOSIS (ICCAD), 2017, : 499 - 504
12345