Minimum-Time Control of Boolean Networks: An Algebraic Approach

被引:0
|
作者
Laschov, Dmitriy [1 ]
Margaliot, Michael [1 ,2 ]
机构
[1] Tel Aviv Univ, Sch Elec Engn Syst, IL-69978 Tel Aviv, Israel
[2] Tel Aviv Univ, Sagol Sch Neurosci, IL-69978 Tel Aviv, Israel
关键词
SWITCHED SYSTEMS; FEEDBACK-CONTROL; STABILITY; MODELS; OBSERVABILITY; CONTROLLABILITY; GENES;
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
We consider the problem of steering a Boolean control network (BCN) between two given states in minimal time. Using the algebraic state-space representation (ASSR) of BCNs, we derive several necessary conditions for a control to be time-optimal. In the ASSR, every state and input vector is a canonical vector. Using this special structure yields an explicit state-feedback formula for all time-optimal controls.
引用
收藏
页码:1545 / 1550
页数:6
相关论文
共 50 条
  • [1] MINIMUM-TIME CONTROL OF BOOLEAN NETWORKS
    Laschov, Dmitriy
    Margaliot, Michael
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (04) : 2869 - 2892
  • [2] Minimum-Time Control of Boolean Control Networks: A Fast Graphical Approach
    Gao, Shuhua
    Feng, Jun-e
    Li, Zezheng
    Xiang, Cheng
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (02) : 742 - 746
  • [3] A minimum-time control for Boolean control networks with impulsive disturbances
    Chen, Hongwei
    Wu, Bo
    Lu, Jianquan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 477 - 483
  • [4] MINIMUM-TIME STATE FEEDBACK STABILIZATION OF CONSTRAINED BOOLEAN CONTROL NETWORKS
    Li, Haitao
    Wang, Yuzhen
    [J]. ASIAN JOURNAL OF CONTROL, 2016, 18 (05) : 1688 - 1697
  • [5] Minimum-Time and Minimum-Triggering Observability of Stochastic Boolean Networks
    Zhu, Shiyong
    Lu, Jianquan
    Lin, Lin
    Liu, Yang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (03) : 1558 - 1565
  • [6] Algebraic Solution to Minimum-Time Velocity Planning
    Lini, Gabriele
    Piazzi, Aurelio
    Consolini, Luca
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2013, 11 (04) : 805 - 814
  • [7] Algebraic solution to minimum-time velocity planning
    Gabriele Lini
    Aurelio Piazzi
    Luca Consolini
    [J]. International Journal of Control, Automation and Systems, 2013, 11 : 805 - 814
  • [8] A hierarchical approach to minimum-time control of industrial robots
    Al Homsi, Saed
    Sherikov, Alexander
    Dimitrov, Dimitar
    Wieber, Pierre-Brice
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA), 2016, : 2368 - 2374
  • [9] Minimum-time control of the acrobot
    Boone, G
    [J]. 1997 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION - PROCEEDINGS, VOLS 1-4, 1997, : 3281 - 3287
  • [10] Minimum-Time Contour Tracking with Model Predictive Control Approach
    Chang, Yen-Chi
    Tsao, Tsu-Chin
    [J]. 2014 AMERICAN CONTROL CONFERENCE (ACC), 2014,