Robust H-infinity Filtering for Uncertain Neutral Stochastic Systems with Markovian Jumping Parameters and Time Delay

Li Yajun; Huang Zhaowen

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Robust H-infinity Filtering for Uncertain Neutral Stochastic Systems with Markovian Jumping Parameters and Time Delay

机译：具有不确定马尔可夫跳跃参数和时滞的中立随机系统的鲁棒H-∞滤波

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This paper deals with the robust H-infinity filter design problem for a class of uncertain neutral stochastic systems with Markovian jumping parameters and time delay. Based on the Lyapunov-Krasovskii theory and generalized Finsler Lemma, a delay-dependent stability condition is proposed to ensure not only that the filter error system is robustly stochastically stable but also that a prescribed H-infinity performance level is satisfied for all admissible uncertainties. All obtained results are expressed in terms of linear matrix inequalities which can be easily solved by MATLAB LMI toolbox. Numerical examples are given to show that the results obtained are both less conservative and less complicated in computation.

机译：针对一类具有马尔可夫跳跃参数和时滞的不确定中立随机系统，研究了鲁棒的H-∞滤波器设计问题。基于Lyapunov-Krasovskii理论和广义Finsler Lemma，提出了一个时延相关的稳定性条件，以确保不仅滤波器误差系统具有鲁棒的随机稳定性，而且对于所有可容许的不确定性都满足规定的H-无穷大性能水平。所有获得的结果均以线性矩阵不等式表示，可以通过MATLAB LMI工具箱轻松解决。数值算例表明，所获得的结果在计算上既不那么保守，也不太复杂。

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《Mathematical Problems in Engineering》 |2015年第20期|808973.1-808973.16|共16页
作者
Li Yajun; Huang Zhaowen;
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Shunde Polytech, Inst Elect & Informat Engn, Foshan 528300, Peoples R China;

Shunde Polytech, Inst Elect & Informat Engn, Foshan 528300, Peoples R China;

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1. Delay-range-dependent robust H-infinity filtering for uncertain stochastic systems with mode-dependent time delays and Markovian jump parameters [J] . Shao HY Journal of Mathematical Analysis and Applications . 2008,第2期

机译：具有与模式相关的时滞和马尔可夫跳跃参数的不确定随机系统的与时滞相关的鲁棒H无限滤波
2. Robust H-infinity filter design for uncertain time-delay singular stochastic systems with Markovian jump [J] . Jianwei XIA Journal of Control Theory and Applications . 2007,第4期

机译：具有马尔可夫跳的不确定时滞奇异随机系统的鲁棒H-∞滤波器设计
3. Robust H-infinity filter design for uncertain time-delay singular stochastic systems with Markovian jump [J] . 控制理论与应用（英文版） . 2007,第004期

机译：具有马尔可夫跳的不确定时滞奇异随机系统的鲁棒H-∞滤波器设计
4. Robust L2-L∞ filtering for uncertain neutral stochastic system with markovian jumping parameters and time delay [C] . Tan Huasheng, Hua Mingang International conference on control, automation and systems . 2014

机译：具有马尔可夫跳跃参数和时滞的不确定中立随机系统的鲁棒L 2 -L ∞滤波
5. Control of time-delayed Markovian jump linear systems. [D] . Beane, Carlos D. 2010

机译：时滞马尔可夫跳跃线性系统的控制。
6. Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage mixed time delays and α-inverse Hölder activation functions [O] . C. Maharajan, R. Raja, Jinde Cao, -1

机译：具有泄漏混合时滞和α-逆Hölder激活函数的Markovian跳跃随机脉冲不确定BAM神经网络的全局指数稳定性
7. Delay-range-dependent robust H∞ filtering for uncertain stochastic systems with mode-dependent time delays and Markovian jump parameters [O] . Shao Hanyong 2008

机译：具有模式相关时滞和马尔可夫跳跃参数的不确定随机系统的时滞相关鲁棒H∞滤波

Robust H-infinity Filtering for Uncertain Neutral Stochastic Systems with Markovian Jumping Parameters and Time Delay

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