Optimal control problem of singular Boolean control networks

被引:0
|
作者
Min Meng
Jun-e Feng
机构
[1] Shandong University,School of Mathematics
关键词
Needle variation; optimal control; Pontryagin’s principle; semi-tensor product; singular Boolean control network;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the optimal control problem of singular Boolean control networks is considered via semi-tensor product. Using an analogous needle variation, for multi-input case, a necessary condition for the existence of optimal control is provided based on the algebraic form of singular Boolean control networks, and the result is specialized to the single-input case. Then, an algorithm is presented to calculate an optimal control. Illustrative examples, including the single-input case, are given to show the feasibility of the theoretical results.
引用
收藏
页码:266 / 273
页数:7
相关论文
共 50 条
  • [1] Optimal Control Problem of Singular Boolean Control Networks
    Meng, Min
    Feng, Jun-e
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2015, 13 (02) : 266 - 273
  • [2] Optimal control of singular boolean control networks via Ledley solution method
    Wang, Yuanhua
    Guo, Peilian
    [J]. Journal of the Franklin Institute, 2021, 358 (12): : 6161 - 6173
  • [3] Optimal control of singular boolean control networks via Ledley solution method
    Wang, Yuanhua
    Guo, Peilian
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (12): : 6161 - 6173
  • [4] ON THE OPTIMAL CONTROL OF BOOLEAN CONTROL NETWORKS
    Zhu, Qunxi
    Liu, Yang
    Lu, Jianquan
    Cao, Jinde
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (02) : 1321 - 1341
  • [5] Optimal Control of Boolean Control Networks
    Fornasini, Ettore
    Valcher, Maria Elena
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) : 1258 - 1270
  • [6] Dynamics and control of singular boolean networks
    Qi, Hongsheng
    Qiao, Yupeng
    [J]. ASIAN JOURNAL OF CONTROL, 2019, 21 (06) : 2604 - 2613
  • [7] Observability of Singular Boolean Control Networks
    Li, Tiantian
    Wang, Biao
    Feng, Jun-e
    Yu, Yongyuan
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 439 - 444
  • [8] Optimal Control Problem of Boolean Control Networks: A Graph-theoretical Approach
    Cui, Xingbang
    Feng, Jun-e
    Wang, Sen
    [J]. PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 4511 - 4516
  • [9] An average optimal control approach to the set stabilization problem for boolean control networks
    Gao, Jinwu
    Lin, Sida
    Fan, Jixiang
    Hu, Yunfeng
    [J]. ASIAN JOURNAL OF CONTROL, 2019, 21 (06) : 2596 - 2603
  • [10] Controllability and Observability of Singular Boolean Control Networks
    Min Meng
    Beiyou Li
    Jun-e Feng
    [J]. Circuits, Systems, and Signal Processing, 2015, 34 : 1233 - 1248