Set controllability of Markov jump switching Boolean control networks and its applications. (August 2022)

• Record Type: Journal Article
• Authors: Li, Yalu; Li, Haitao; Xiao, Gaoxi
• Is Part Of: Nonlinear analysis. Volume 45(2022)
• Publication Date: 2022-08
• Subjects: Boolean control network -- Set controllability -- Markov jump switching -- Time delay -- Semi-tensor product; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101179
• Languages: English
• ISSNs: 1751-570X

Abstract

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.