Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

Kwon O. M.; Sakthivel R.; Park M. J.

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Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

机译：时变时滞马尔可夫跳跃系统稳定性分析的进一步结果

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This paper is concerned with the problem of stability analysis for Markovian jump systems with time-varying delays. By constructing a newly augmented Lyapunov-Krasovskii functional and combining Wirtinger-based integral inequality, an improved delay-dependent stability criterion within the framework of linear matrix inequalities (LMIs) is introduced. Based on the result of delay-dependent stability criterion, when linear systems have fast time-varying delays, a corresponding stability condition is given. Via three numerical examples, the improvements of the proposed criteria are shown by comparing maximum delay bounds provided by our theorems with the recent results.

机译：本文涉及具有时变时滞的马尔可夫跳跃系统的稳定性分析问题。通过构造新增强的Lyapunov-Krasovskii泛函并结合基于Wirtinger的积分不等式，在线性矩阵不等式（LMI）的框架内引入了改进的依赖于延迟的稳定性准则。基于时滞相关稳定性准则的结果，当线性系统具有快速时变时滞时，给出了相应的稳定性条件。通过三个数值示例，通过将我们的定理提供的最大延迟范围与最近的结果进行比较，表明了所提出标准的改进。

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《Mathematical Problems in Engineering》 |2015年第21期|148565.1-148565.13|共13页
作者
Kwon O. M.; Sakthivel R.; Park M. J.;
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Chungbuk Natl Univ, Sch Elect Engn, Cheongju 362763, South Korea;

Sri Ramakrishna Inst Technol, Dept Math, Coimbatore 641010, Tamil Nadu, India|Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea;

Chungbuk Natl Univ, Sch Elect Engn, Cheongju 362763, South Korea;

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1. Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations [J] . R. Rakkiyappan, S. Lakshmanan, R. Sivasamy, Applied Mathematical Modelling . 2016,第7a8期

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2. New robust delay-dependent stability and H_∞ analysis for uncertain Markovian jump systems with time-varying delays [J] . Xudong Zhao, Qingshuang Zeng Journal of the Franklin Institute . 2010,第5期

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3. Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays [J] . Long Shaohua, Zhong Shouming, Guan Hongbo, Journal of the Franklin Institute . 2019,第12期

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4. Delay-dependent stability of two-dimensional Markovian jump systems in the Roesser model with interval time-varying delays [C] . Jing Zhang, Dan Peng, Changchun Hua Chinese Control Conference . 2017

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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

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7. Passivity analysis and passification of uncertain Markovian jump systems with partially known transition rates and mode-dependent interval time-varying delays [O] . Luo Mengzhuo, Zhong Shouming 2012

机译：具有部分已知的跃迁速率和与模式相关的时变时滞的不确定Markovian跳跃系统的无源性分析和钝化

Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

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