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2021, Volume 22, Issue 2

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Frontiers of Information Technology & Electronic Engineering >> 2021, Volume 22, Issue 2 doi: 10.1631/FITEE.1900454

Stability of Boolean networks with state-dependent random impulses

中南大学自动化学院，中国长沙市，410083

Received: 2019-08-30 Accepted: 2021-02-01 Available online: 2021-02-01
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Abstract

We investigate the stability of Boolean networks (BNs) with impulses triggered by both states and random factors. A hybrid index model is used to describe impulsive BNs. First, several necessary and sufficient conditions for are obtained. Second, based on the stability criterion of probabilistic BNs and the criterion, the necessary and sufficient conditions for the and the are presented. The relationship between these two kinds of stability is discussed. Last, examples and time-domain simulations are provided to illustrate the obtained results.

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