Finite-Time Controllability and Set Controllability of Impulsive Probabilistic Boolean Control Networks

IEEE Access

卷:8

Haitao Li¹  Jing Wang¹  Yansheng Liu¹ 

[1] School of Mathematics and Statistics, Shandong Normal University, Jinan, China;

关键词: Probabilistic Boolean control network;    impulsive effect;    controllability;    set controllability;    algebraic state space representation;   

DOI  :  10.1109/ACCESS.2020.3002533

来源: DOAJ

【 摘 要 】

This paper addresses the finite-time controllability and set controllability of impulsive probabilistic Boolean control networks (IPBCNs). Firstly, using the algebraic state space representation (ASSR) method, the transition probability matrix of IPBCNs is established. Secondly, a kind of finite step reachability matrix with probability one is constructed, based on which, several effective criteria are proposed for the finite-time controllability with probability one of IPBCNs. Thirdly, a necessary and sufficient condition is presented for the finite-time set controllability with probability one of IPBCNs by constructing the set controllability probability distribution vector. Finally, the obtained results are extended to switching topology case.

【 授权许可】

Unknown