Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks.
Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks.
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DOI：
10.1063/1.2939483
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发表时间：
2008-06
期刊：
影响因子：
2.9
通讯作者：
Chunguang Li;Luonan Chen;K. Aihara
中科院分区：
文献类型：
--
作者：
Chunguang Li;Luonan Chen;K. Aihara
实际系统经常受到噪声扰动和脉冲效应的影响。本文研究了既有噪声扰动又有脉冲效应的系统的稳定性和镇定问题。换句话说，我们将脉冲控制理论从确定性情况推广到随机情况。该方法基于将比较方法推广到随机情况。本文提出的方法具有通用性强、易于应用的特点。导出了在p均值处的稳定性和扰动衰减时的稳定性的理论结果。为了证明基本理论的有效性，我们将其应用于含噪声扰动的混沌系统的脉冲控制与同步，以及脉冲随机神经网络的稳定性。最后给出了几个数值算例来验证理论结果。
Real systems are often subject to both noise perturbations and impulsive effects. In this paper, we study the stability and stabilization of systems with both noise perturbations and impulsive effects. In other words, we generalize the impulsive control theory from the deterministic case to the stochastic case. The method is based on extending the comparison method to the stochastic case. The method presented in this paper is general and easy to apply. Theoretical results on both stability in the pth mean and stability with disturbance attenuation are derived. To show the effectiveness of the basic theory, we apply it to the impulsive control and synchronization of chaotic systems with noise perturbations, and to the stability of impulsive stochastic neural networks. Several numerical examples are also presented to verify the theoretical results.