A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay

T.E. Govindan; N.U. Ahmed

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A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay

机译：关于SDE的缓和解的Razumikhin型定理关于指数状态反馈稳定性的一点注记。

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摘要

In this paper, we study the question of state feedback exponential stabilizability by using a Razumikhin type theorem of mild solutions of SDEs in infinite dimensions with finite delay. An example is presented to illustrate the theory.

机译：在本文中，我们使用RDE的Razumikhin型定理，对SDE的温和解进行了无穷维和有限时延研究，研究了状态反馈的指数稳定性问题。给出一个例子来说明该理论。

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《Statistics & Probability Letters》 |2012年第7期|共7页
作者
T.E. Govindan; N.U. Ahmed;
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正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
SDEs; Finite delay; Existence and uniqueness of a mild solution; Razumikhin type theorem; Exponential stabilizability;

机译：SDE;有限时滞;温和解的存在性和唯一性;Razumikhin型定理;指数稳定性;

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专利

1. A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay [J] . T.E. Govindan, N.U. Ahmed Statistics & Probability Letters . 2012,第7期

机译：关于SDE的缓和解的Razumikhin型定理关于指数状态反馈稳定性的一点注记。
2. Razumikhin-type theorems on exponential stability of stochastic functional differential equations with infinite delay [J] . Yang Z., Zhu E., Xu Y., Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2010,第2期

机译：无限时滞随机泛函微分方程指数稳定性的Razumikhin型定理
3. Razumikhin-type Theorems on Exponential Stability of Stochastic Functional Differential Equations with Infinite Delay [J] . Zhihao Yang, Enwen Zhu, Yong Xu, Acta Applicandae Mathematicae . 2010,第2期

机译：无限时滞随机泛函微分方程指数稳定性的Razumikhin型定理
4. Razumikhin-type approach on output feedback stabilization of stochastic nonlinear systems with time-varying delay [C] . Congran Zhao, Zhihua Zhang Chinese Automation Congress . 2017

机译：时滞随机非线性系统输出反馈镇定的Razumikhin型方法
5. Stabilizing high-dimensional dynamical systems using time -delayed feedback. [D] . Harrington, Ilan. 2004

机译：使用延时反馈来稳定高维动力系统。
6. Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses [O] . Qing Wang, Quanxin Zhu -1

机译：Razumikhin型稳定标准用于延迟冲动的微分方程
7. Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems [O] . Fu Xilin, Li Xiaodi 2009

机译：脉冲无限时滞微分系统指数稳定性的Razumikhin型定理

A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay

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