Title
Optimal control of Boolean control networks with average cost: A policy iteration approach.
Abstract
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.
Year
DOI
Venue
2019
10.1016/j.automatica.2018.11.036
Automatica
Keywords
Field
DocType
Boolean control networks,Semi-tensor product (STP),Average optimal control,Infinite horizon optimal control,Policy iteration
Mathematical optimization,Optimal control,Matrix (mathematics),Full state feedback,Laurent series,Average cost,Electromagnetic coil,Infinite horizon,Optimality equation,Mathematics
Journal
Volume
Issue
ISSN
100
100
0005-1098
Citations 
PageRank 
References 
14
0.51
13
Authors
4
Name
Order
Citations
PageRank
Yuhu Wu1907.40
Xi-Ming Sun285062.94
Xudong Zhao3202794.90
Tielong Shen424340.52