Stabilization of a Class of Nonlinear Systems With Random Disturbance via Intermittent Stochastic Noise
Stabilization of a Class of Nonlinear Systems With Random Disturbance via Intermittent Stochastic Noise
复制标题
通过间歇随机噪声稳定一类具有随机扰动的非线性系统
DOI：
10.1109/tac.2019.2926890
复制
发表时间：
2020-03-01
影响因子：
6.8
通讯作者：
Deng, Feiqi
中科院分区：
文献类型：
--
作者：
Zhang, Bo;Lim, Cheng-Chew;Deng, Feiqi
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.
