Stabilization and destabilization of nonlinear systems via intermittent stochastic noise with application to memristor-based system

Stabilization and destabilization of nonlinear systems via intermittent stochastic noise with application to memristor-based system
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通过间歇随机噪声实现非线性系统的稳定和不稳定,并应用于基于忆阻器的系统

DOI:
10.1016/j.jfranklin.2017.12.033
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发表时间:
2018-06
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Peng Shiguo
Peng Shiguo
中科院分区:
其他
文献类型:
--
作者:
Zhang Bo;Xie Shengli;Deng Feiqi;Zhang Bo;Peng Shiguo

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This paper considers the stabilization and destabilization of a given nonlinear system by an intermittent Brownian noise perturbation. We give some distinct conditions and conclusions on almost sure exponential stability and instability, which are related to the control periodTand the noise widthδ. These results are then exploited to examine stabilization and destabilization via intermittent stochastic perturbation and applied to the stabilization of a memristor-based chaotic system. Two numerical examples are presented to illustrate the theoretical results.
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