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

Jing Wang; Yansheng Liu; Haitao Li

doi:10.1109/ACCESS.2020.3002533

IEEE Access (Jan 2020)

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

Jing Wang,
Yansheng Liu,
Haitao Li

Affiliations

Jing Wang: School of Mathematics and Statistics, Shandong Normal University, Jinan, China
Yansheng Liu: ORCiD; School of Mathematics and Statistics, Shandong Normal University, Jinan, China
Haitao Li: ORCiD; School of Mathematics and Statistics, Shandong Normal University, Jinan, China

DOI: https://doi.org/10.1109/ACCESS.2020.3002533
Journal volume & issue: Vol. 8
pp. 111995 – 112002

Abstract

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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.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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