Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties

Zhiguo Yan; Guoshan Zhang; Xingguang Qi

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Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties

机译：具有时滞和非线性不确定性的随机系统的鲁棒镇定

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This paper deals with the problem of robust stabilization of stochastic systems with time-delay and nonlinear uncertainties via memory state feedback. Based on Lyapunov krasoviskii functional, some sufficient conditions on local (global) stabilization are given in terms of matrix inequalities. In particular, these stabilizable conditions for a class of nonlinear stochastic time-delay systems are derived in the form of linear matrix inequalities, which have the advantage of easy computation. Moreover, the corresponding results are further extended to the stochastic multiple time-delays systems. Finally, an example is presented to show the superiority of memory state feedback controller to memoryless state feedback controller.

机译：本文通过记忆状态反馈来解决具有时滞和非线性不确定性的随机系统的鲁棒镇定问题。基于Lyapunov krasoviskii泛函，根据矩阵不等式给出了局部（全局）稳定化的一些充分条件。特别地，以线性矩阵不等式的形式导出用于一类非线性随机时滞系统的这些可稳定条件，其具有易于计算的优点。而且，相应的结果进一步扩展到随机的多个时延系统。最后，给出一个例子来说明存储器状态反馈控制器比无存储器状态反馈控制器的优越性。

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来源
《Mathematical Problems in Engineering》 |2012年第4期|p.291624.1-291624.17|共17页
作者
Zhiguo Yan; Guoshan Zhang; Xingguang Qi;
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School of Electrical Engineering and Automation, Shandong Polytechnic University, Jinan 250353, China;

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China;

School of Electrical Engineering and Automation, Shandong Polytechnic University, Jinan 250353, China;

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1. ROBUST EXPONENTIAL STABILITY OF STOCHASTIC TIME-DELAY SYSTEMS WITH UNCERTAINTIES AND NONLINEAR PERTURBATIONS [J] . HUAICHENG YAN, MAX Q.-H. MENG, XINHAN HUANG, International Journal of Information Acquisition . 2009,第1期

机译：具有不确定性和非线性摄动的随机时滞系统的鲁棒指数稳定性
2. Robust stabilization and H control of uncertain stochastic time-delay systems with nonlinear perturbation [J] . Li Boren, Yang Guang International Journal of Robust and Nonlinear Control . 2016,第15期

机译：具有非线性摄动的不确定随机时滞系统的鲁棒镇定和H控制
3. ROBUST EXPONENTIAL STABILITY AND STABILIZATION OF A CLASS OF NONLINEAR STOCHASTIC TIME-DELAY SYSTEMS [J] . Yanjiang Li, Xian Zhang, Meng Yuan Asian Journal of Control . 2013,第4期

机译：一类非线性随机时滞系统的鲁棒指数稳定性和镇定。
4. Robust stabilization for stochastic time-delay systems with polytopic uncertainties [C] . Shengyuan Xu, Lam, J., . 2004

机译：具有多位置不确定性的随机时滞系统的鲁棒镇定
5. Robust stabilization and disturbance attenuation of nonlinear systems with applications to engine systems. [D] . Zhang, Wenjun. 1997

机译：非线性系统的鲁棒稳定和干扰衰减及其在发动机系统中的应用。
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties [O] . Zhiguo Yan, Guoshan Zhang, Xingguang Qi 2012

机译：具有时滞和非线性不确定性的随机系统的鲁棒稳定性
8. Robust Stabilization of Nonlinear Systems via Stable Kernel Representations with L2-Gain Bounded Uncertainty [R] . van der Schaft, A. J. 1993

机译：具有L2增益有界不确定性的稳定核表示的非线性系统鲁棒镇定

Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties

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