摘要
本文概述了随机镇定与反镇定理论的研究现状.主要回顾了一个微分方程的随机镇定与反镇定普遍理论及其发展,并围绕该理论的应用和扩展从四个方面阐述连续时间系统噪声镇定理论的当前发展概况.此外,本文还概述了离散时间系统随机镇定方面的最新进展.
This paper provides an overview of recent advances of theory on stochastic stabilization and destabilization.The paper reviews a general theory on stochastic stabilization and destabilization of continuous-time systems and then illustrates the developments of theory on stabilization by noise with the applications and generalizations of this theory from four aspects. Moreover, this paper reviews some recent development of stochastic stabilization for discrete-time systems.
出处
《南京信息工程大学学报（自然科学版）》
CAS
2017年第3期262-273,共12页
Journal of Nanjing University of Information Science & Technology（Natural Science Edition）
关键词
几乎必然稳定性
连续时间系统
离散时间系统
噪声镇定
随机微分方程
随机镇定
almost sure stability
continuous-time systems
discrete-time systems
stabilization by noise
stochastic differential equations
stochastic stabilization
