On the Asymptotical and Practical Stability of Stochastic Control Systems

Fakhreddin Abedi; Wah June Leong; Sarkhosh Seddighi Chaharborj

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On the Asymptotical and Practical Stability of Stochastic Control Systems

机译：随机控制系统的渐近和实际稳定性

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摘要

The asymptotical and practical stability in probability of stochastic control systems by means of feedback laws is provided. The main results of this work enable us to derive the sufficient conditions for the existence of control Lyapunov function that play a leading role in the existence of stabilizing feedback laws. Particularly, the sufficient conditions for practical stability in probability are established and numerical examples are also given to illustrate the usefulness of our results.

机译：通过反馈定律，提供了随机控制系统概率的渐近和实际稳定性。这项工作的主要结果使我们能够得出控制Lyapunov函数存在的充分条件，这些函数在稳定反馈定律的存在中起着主导作用。特别是，为概率的实际稳定性建立了充分的条件，并通过数值例子说明了我们的结果的实用性。

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来源
《Mathematical Problems in Engineering》 |2013年第1期|560647.1-560647.10|共10页
作者
Fakhreddin Abedi; Wah June Leong; Sarkhosh Seddighi Chaharborj;
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Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia;

Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia;

Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia;

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1. On the Asymptotical and Practical Stability of Stochastic Control Systems [J] . FakhreddinAbedi, Wah JuneLeong, SarkhoshSeddighi Chaharborj Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第3期

机译：随机控制系统的渐近和实际稳定性
2. Impulsive control of stochastic system under the sense of stochastic asymptotical stability [J] . 牛玉俊, 马戈中国物理：英文版 . 2010,第011期

机译：随机渐近稳定意义下的随机系统脉冲控制
3. Impulsive control of stochastic system under the sense of stochastic asymptotical stability [J] . Niu Yu-Jun, Ma Ge 中国物理：英文版 . 2010,第011期

机译：随机渐近稳定意义下的随机系统脉冲控制
4. The exponential asymptotical stability for distributed parameter stochastic systems with varying-delays [C] . Gui-Ci Chen, Qiluo . 2005

机译：变时滞分布参数随机系统的指数渐近稳定性
5. Analysis of the Stochastic Stability and Asymptotically Stationary Statistics for a Class of Nonlinear Attitude Estimation Algorithms [D] . Galante, Joseph M. 2018

机译：一类非线性姿态估计算法的随机稳定性和渐近平稳统计分析
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control [O] . Mingzhu Song, Wenwen Cheng, Quanxin Zhu, 2016

机译：随着输出反馈控制的时变延迟随机非线性系统的全局渐近稳定性
8. Asymptotic Methods for the Analysis, Estimation, and Control of Stochastic Dynamic Systems [R] . Willsky, A. S., Verghese, G. C. 1985

机译：随机动力系统分析，估计和控制的渐近方法

On the Asymptotical and Practical Stability of Stochastic Control Systems

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