Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design

Xinrong Yang, Qilong Sun, Haitao Li and Xiangshan Kong

Applied Mathematics and Computation, 2023, vol. 449, issue C

Abstract: This paper discusses the design of impulsive sequence for the set stabilizability of impulsive probabilistic Boolean networks (IPBNs). By converting the dynamics of IPBNs into the corresponding probabilistic Boolean control networks, the state feedback impulsive sequence design is transformed into the state feedback control design. Several criteria are obtained for the set stabilizability in finite time with probability one and set stabilizability in distribution of IPBNs, respectively, by designing the state feedback impulsive sequences.

Keywords: Impulsive sequence; Semi-tensor product of matrices; Set stabilizability; Probabilistic Boolean network (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001145

DOI: 10.1016/j.amc.2023.127945

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