Work

Set stability and synchronization of generalized asynchronous probabilistic Boolean networks with impulsive effects

Year: 2025

Type: article

Abstract: This paper investigates the set stability of generalized asynchronous probabilistic Boolean networks (GAPBNs) with impulsive effects. To this end, an efficient algorithm is designed to determine the largest invariant set of a given set. A necessary and sufficient criterion is then derived to determine set stability of GAPBNs with impulsive effects. Subsequently, the global stability and synchronization of GAPBNs with impulsive effects were verified by selecting different sets. Finally, examples are given to illustrate the results on set stability and synchronization.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0318038

Authors: Fukun Liu, Yujie Sun, Chuan Zhang, Lunshi Xu, Hao Zhang

Institutions: Taiyuan University of Technology, Qufu Normal University

Language: English

Topic: Neural Networks Stability and Synchronization

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,382

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shanxi Province