Pinning Stabilization of Probabilistic Boolean Networks with Time Delays

In this paper, the stabilization issues for probabilistic Boolean Networks (PBNs) with time delays are discussed. This paper's objective is designing an efficient algorithm to choose suitable nodes to be pinning controlled for PBNs with time delays. By using the semi-tensor product (STP) of mat...

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Bibliographic Details
Published in:IEEE access 2020-01, Vol.8, p.1-1
Main Authors: Liu, Pengwei, Li, Lulu, Shi, Kaibo, Lu, Jianquan
Format: Article
Language:English
Subjects:
Algorithms
Boolean
Boolean algebra
Boolean functions
Discrete time systems
Feedback control
Mathematical analysis
Matrix methods
Nodes
Pinning
pinning control
Probabilistic Boolean networks
semi-tensor product
Service introduction
Stabilization
Tensors
time delays
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Summary:In this paper, the stabilization issues for probabilistic Boolean Networks (PBNs) with time delays are discussed. This paper's objective is designing an efficient algorithm to choose suitable nodes to be pinning controlled for PBNs with time delays. By using the semi-tensor product (STP) of matrices, a PBN with time delays can be converted into a discrete-time linear system, and the transition matrix also can be obtained. Then, the necessary and sufficient conditions in the form of algebraic expression are given for the existence and solvability of the pinning feedback controllers with minimum pinning nodes for PBNs with time delays. Besides, three algorithms are proposed for designing and solving minimum pinning controllers.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.3018456