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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2021 Vol.22 No.2 P.222-231
Stability of Boolean networks with state-dependent random impulses
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 forward completeness are obtained. Second, based on the stability criterion of probabilistic BNs and the forward completeness criterion, the necessary and sufficient conditions for the finite-time stability with probability one and the asymptotical stability in distribution 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.
Key words: Boolean network with impulses, Forward completeness, Finite-time stability with probability one, Asymptotical stability in distribution
沈雅雯，郭宇骞，桂卫华
中南大学自动化学院，中国长沙市，410083
摘要：研究了具有由状态和随机因素触发脉冲的布尔网络的稳定性。采用混合指数模型描述脉冲神经网络。首先，得到前向完备性的几个充要条件。其次，基于概率布尔网络的稳定性准则和前向完备性准则，给出以概率1有限时间稳定性和依分布渐近稳定性的充要条件。讨论了这两种稳定性之间的关系。最后，给出算例和时域仿真结果。
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DOI:
10.1631/FITEE.1900454
CLC number:
O233
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2020-04-28