状态触发随机脉冲布尔网络的稳定性

2019 IEEE 15th International Conference on Control and Automation (ICCA) Pub Date : 2019-07-01 DOI:10.1109/ICCA.2019.8899566

Yawen Shen, Yuqian Guo, W. Gui

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引用次数: 1

摘要

研究了状态触发随机脉冲布尔网络的稳定性问题。采用混合索引模型来描述脉冲布尔网络。得到了正向完备性的一个充分必要条件。在此基础上，分别得到了概率为1的有限时间稳定和分布渐近稳定的充分必要条件。给出了数值算例来说明所提出的结果。

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Stability of State-triggered Random Impulsive Boolean Networks

This paper addresses the stability of state-triggered random impulsive Boolean networks. A hybrid index model is adopted to describe the impulsive Boolean networks. A necessary and sufficient condition for forward completeness is obtained. Based on this, necessary and sufficient conditions for finite-time stability with probability one and asymptotically stability in distribution are obtained respectively. Numerical examples are given to illustrate the proposed results.

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2019 IEEE 15th International Conference on Control and Automation (ICCA)

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