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.

中文翻译：

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通过间歇随机噪声稳定一类具有随机扰动的非线性系统


本文研究了随机扰动下通过间歇布朗运动实现非线性系统随机稳定的问题。考虑两种类型的噪声。一种是布朗噪声，被视为间歇性控制输入。另一种是未知的外部环境引起的随机扰动，会导致间歇性布朗噪声镇定的时间波动。我们首先提出一个具有随机扰动的间歇随机系统。然后，我们为底层系统提出一个几乎确定的稳定性条件。然后稳定性结果用于稳定忆阻洛伦兹系统。还给出了数值模拟来验证所获得的理论结果的有效性。