The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach

作者：

Highlights：

• The set stabilization problem of Markovian jump Boolean control networks by semi tensor product is studied.

• A necessary and sufficient criterion for the feedback set stabilization of Markovian jump Boolean control networks is proposed based on average optimal control problem.

• A policy iterati algorithm for set stabilization problem is deduced, based on which, the state feedback control is designed.

摘要

•The set stabilization problem of Markovian jump Boolean control networks by semi tensor product is studied.•A necessary and sufficient criterion for the feedback set stabilization of Markovian jump Boolean control networks is proposed based on average optimal control problem.•A policy iterati algorithm for set stabilization problem is deduced, based on which, the state feedback control is designed.

论文关键词：Boolean control networks,Markovian jump,Optimal control,Semi-tensor product,State feedback

论文评审过程：Received 14 September 2020, Revised 4 February 2021, Accepted 20 February 2021, Available online 6 March 2021, Version of Record 6 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126133