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Title: Set controllability of Markov jump switching Boolean control networks and its applications
Authors: Li, Yalu
Li, Haitao
Xiao, Gaoxi
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2022
Source: Li, Y., Li, H. & Xiao, G. (2022). Set controllability of Markov jump switching Boolean control networks and its applications. Nonlinear Analysis: Hybrid Systems, 45, 101179-.
Journal: Nonlinear Analysis: Hybrid Systems
Abstract: In this article, a novel method is proposed for investigating the set controllability of Markov jump switching Boolean control networks (MJSBCNs). Specifically, the switching signal is described as a discrete-time homogeneous Markov chain. By resorting to the expectation and switching indicator function, an expectation system is constructed. Based on the expectation system, a novel verifiable condition is established for solving the set reachability of MJSBCNs. With the newly obtained results on set reachability, a necessary and sufficient condition is further derived for the set controllability of MJSBCNs. The obtained results are applied to Boolean control networks with Markov jump time delays. Examples are demonstrated to justify the theoretical results.
ISSN: 1751-570X
DOI: 10.1016/j.nahs.2022.101179
Schools: School of Electrical and Electronic Engineering 
Rights: © 2022 Elsevier Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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