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首页> 外文期刊>IEEE Transactions on Automatic Control >Stabilization of a Class of Nonlinear Systems With Random Disturbance via Intermittent Stochastic Noise
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Stabilization of a Class of Nonlinear Systems With Random Disturbance via Intermittent Stochastic Noise

机译：通过间歇随机噪声稳定随机干扰随机干扰的一类非线性系统

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摘要

In this paper, the issue of stochastic stabilization of nonlinear systems via intermittent Brownian motion under random disturbance is investigated. Two types of noise are considered. One is Brownian noise that is regarded as an intermittent control input. The other is the random disturbance caused by the unknown external environment, which can lead to time fluctuations of the intermittent Brownian noise stabilization. We first present an intermittent stochastic system with random disturbance. We then propose an almost sure stability condition for the underlying system. The stability results are then used to stabilize the memristive Lorenz system. Numerical simulations are also given to validate the effectiveness of the theoretic results obtained.
机译：本文研究了随机扰动中通过间歇褐色运动的非线性系统随机稳定问题。考虑了两种类型的噪声。一个是布朗噪声，被认为是间歇控制输入。另一个是由未知的外部环境引起的随机扰动，这可能导致间歇褐色噪声稳定的时间波动。我们首先介绍一种具有随机干扰的间歇性随机系统。然后，我们为底层系统提出了一个几乎确定的稳定条件。然后使用稳定性结果来稳定膜质洛伦兹系统。还提供了数值模拟来验证所获得的理论结果的有效性。

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  • 来源
    《IEEE Transactions on Automatic Control》 |2020年第3期|1318-1324|共7页
  • 作者

    Zhang Bo; Lim Cheng-Chew; Shi Peng; Xie Shengli; Deng Feiqi;

  • 作者单位

    Guangdong Univ Technol Guangdong Key Lab IoT Informat Technol State Key Lab Precis Elect Mfg Technol & Equipmen Key Lab Minist Educ Guangzhou 510006 Peoples R China|Guangdong Univ Technol Sch Automat Guangzhou 510006 Peoples R China;

    Univ Adelaide Sch Elect & Elect Engn Adelaide SA 5005 Australia;

    Univ Adelaide Sch Elect & Elect Engn Adelaide SA 5005 Australia;

    Guangdong Univ Technol Guangdong Key Lab IoT Informat Technol State Key Lab Precis Elect Mfg Technol & Equipmen Key Lab Minist Educ Guangzhou 510006 Peoples R China|Guangdong Univ Technol Sch Automat Guangzhou 510006 Peoples R China;

    South China Univ Technol Syst Engn Inst Guangzhou 510640 Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Almost sure stability; intermittent stochastic noise; noise error; stochastic stabilization;

    机译：几乎肯定的稳定性;间歇性随机噪声;噪音错误;随机稳定;

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