Stabilisation and H∞ control of neutral stochastic delay Markovian jump systems

Chen Weimin; Ma Qian; Wang Lanning; Xu Huiling

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Stabilisation and H∞ control of neutral stochastic delay Markovian jump systems

机译：中立型随机时滞马尔可夫跳跃系统的镇定与H∞控制

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This paper investigates the exponential stabilisation and H-infinity control problem of neutral stochastic delay Markovian jump systems. First, a delay feedback controller is designed to stabilise the neutral stochastic delay Markovian jump system in the drift part. Second, sufficient conditions for the existence of feedback controller are proposed to ensure that the resulting closed-loop system is exponentially stable in mean square and satisfies a prescribed H-infinity performance level. Finally, numerical examples are provided to show the effectiveness of the proposed design methods.

机译：本文研究了中立型随机时滞马尔可夫跳跃系统的指数稳定性和H-∞控制问题。首先，设计了一种延迟反馈控制器，以使漂移部分的中性随机延迟马尔可夫跳跃系统稳定。其次，为反馈控制器的存在提出了充分的条件，以确保所得的闭环系统的均方指数稳定，并满足规定的H-无穷大性能水平。最后，通过算例说明了所提出设计方法的有效性。

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来源
《International journal of systems science》 |2018年第4期|58-67|共10页
作者
Chen Weimin; Ma Qian; Wang Lanning; Xu Huiling;
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作者单位

Nanjing Univ Sci & Technol, Sch Sci, Nanjing, Jiangsu, Peoples R China;

Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Jiangsu, Peoples R China;

Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing, Jiangsu, Peoples R China;

Nanjing Univ Sci & Technol, Sch Sci, Nanjing, Jiangsu, Peoples R China;

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正文语种 eng
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关键词
Stabilisation; H-infinity control; neutral stochastic delay Markovian jump system; stability;

机译：稳定性;H∞控制;中性随机延迟马尔可夫跳跃系统;稳定性;

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专利

1. Delay-range-dependent robust stabilisation and H_∞ control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters [J] . P. Balasubramaniam, T. Senthilkumar International journal of systems science . 2013,第1a3期

机译：具有模式相关时滞和马尔可夫跳跃参数的非线性不确定随机模糊系统的时滞相关鲁棒镇定和H_∞控制
2. Stability and stabilisation of neutral stochastic delay Markovian jump systems [J] . Weimin Chen, Shengyuan Xu, Baoyong Zhang, Control Theory & Applications, IET . 2016,第15期

机译：中立型随机时滞马尔可夫跳跃系统的稳定性和稳定性
3. Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays [J] . Zhuang Guangming, Xu Shengyuan, Xia Jianwei, Applied mathematics and computation . 2019,第期

机译：具有时变延迟的中性随机市场跳跃系统的非易碎延迟反馈控制
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. H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains [O] . Chenyu Guo, Weidong Zhang -1

机译：H基于未知的马尔可夫链转移概率的网络控制系统随机时滞∞估计
7. Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters [O] . Huabin Chen 2012

机译：具有混合延迟和马尔可夫跳跃参数的不确定中性随机系统的延迟依赖性指数稳定性

Stabilisation and H∞ control of neutral stochastic delay Markovian jump systems

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