Optimal control of Boolean control networks with average cost: A policy iteration approach

被引：160

作者：

Wu, Yuhu ^{[1
]}

Sun, Xi-Ming ^{[1
]}

Zhao, Xudong ^{[1
]}

Shen, Tielong ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China

[2] Sophia Univ, Dept Engn & Appl Sci, Tokyo, Japan

来源：

AUTOMATICA | 2019年 / 100卷

基金：

中国国家自然科学基金;

关键词：

Boolean control networks; Semi-tensor product (STP); Average optimal control; Infinite horizon optimal control; Policy iteration;

D O I：

10.1016/j.automatica.2018.11.036

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the infinite horizon optimal control problem for deterministic Boolean control networks (BCNs) with average cost. Based on the semi-tensor product of matrices and Jordan decomposition technique, a nested optimality equation for the average infinite horizon problem of BCNs is presented. By resorting to Laurent series expression, a novel policy iteration algorithm, which can find the optimal state feedback controller in finite iteration steps, is proposed. Finally, as a practical application, the optimal intervention problem of Ara operon in E. coil is addressed. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：378 / 387

页数：10

共 30 条

[1] Finding a Periodic Attractor of a Boolean Network
Akutsu, Tatsuya
Kosub, Sven
Melkman, Avraham A.
Tamura, Takeyuki
[J]. IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2012, 9 (05) : 1410 - 1421
[2] Bertsekas D. P., 2012, Dynamic programming and optimal control, V2
[3] Receding Horizon Based Feedback Optimization for Mix-Valued Logical Networks
Cheng, Daizhan
Zhao, Yin
Xu, Tingting
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) : 3362 - 3366
[4] On finite potential games
Cheng, Daizhan
[J]. AUTOMATICA, 2014, 50 (07) : 1793 - 1801
[5] Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
[6] Cormen Thomas H., 2001, Introduction to Algorithms
[7] Ettore F, 2015, CHIN CONTR CONF, P1, DOI 10.1109/ChiCC.2015.7259603
[8] On approximate stochastic control in genetic regulatory networks
Faryabi, B.
Datta, A.
Dougherty, E. R.
[J]. IET SYSTEMS BIOLOGY, 2007, 1 (06) : 361 - 368
[9] Fornasini E., 2015, AUTOMATIC CONTROL IE, V60, P2374
[10] Optimal Control of Boolean Control Networks
Fornasini, Ettore
Valcher, Maria Elena
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) : 1258 - 1270

← 1 2 3 →