New Absolute Stability Conditions of Lur'e Systems with Time-Varying Delay

Wei Wang; Hong-Bing Zeng

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New Absolute Stability Conditions of Lur'e Systems with Time-Varying Delay

机译：具有时变时滞的Lur'e系统的新绝对稳定性条件

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This paper is focused on the absolute stability of Lure systems with time-varying delay. Based on the quadratic separation framework, a complete delay-decomposing Lyapunov-Krasovskii functional is constructed. By considering the relationship between the time-varying delay and its varying interval, improved delay-dependent absolute stability conditions in terms of linear matrix inequalities (LMIs) are obtained. Moreover, the derived conditions are extended to systems with time-varying structured uncertainties. Finally, a numerical example is given to show the advantage over existing literatures.

机译：本文关注具有时变时滞的Lure系统的绝对稳定性。基于二次分离框架，构造了一个完整的延迟分解的Lyapunov-Krasovskii函数。通过考虑时变延迟及其变化间隔之间的关系，就线性矩阵不等式（LMI）而言，获得了改进的依赖于延迟的绝对稳定性条件。此外，导出的条件扩展到具有时变结构不确定性的系统。最后，给出了一个数值例子，显示了相对于现有文献的优势。

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《Journal of control science and engineering》 |2015年第2015期|520737.1-520737.7|共7页
作者
Wei Wang; Hong-Bing Zeng;
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作者单位

Hunan Railway Professional Technology College, Zhuzhou 412001, China;

School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, China;

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1. New Absolute Stability Conditions of Lur’e Systems with Time-Varying Delay [J] . WeiWang, Hong-BingZeng Journal of control science and engineering . 2015,第1期

机译：具有时变时滞的Lur'e系统的新绝对稳定性条件
2. Neutral-delay-range-dependent absolute stability criteria for neutral-type Lur'e systems with time-varying delays [J] . Wang Yantao, Zhang Xinghua, Zhang Xian Journal of the Franklin Institute . 2016,第18期

机译：具有时变时滞的中立型Lur'e系统的中立延迟范围相关的绝对稳定性准则
3. Comment on "Further improvement on delay-range-dependent robust absolute stability for Lur'e uncertain systems with interval time-varying delays" by P. Liu [ISA Trans. 58(2015)58-66] [J] . Duan Wenyong, Fu Xiaorong, Liu Zhengfan, ISA Transactions . 2016,第Null期

机译：P. Liu [ISA Trans。上的评论“对具有间隔时变时滞的Lur'e不确定系统的与时延相关的鲁棒绝对稳定性的进一步改进”。 58（2015）58-66]
4. Absolute stability of mixed neutral and Lur'e control systems with interval time-varying delays [C] . Wang Yantao, He Yang, Zhang Xian 2011 30th Chinese Control Conference . 2011

机译：具有间隔时变延迟的中立和Lur'e混合控制系统的绝对稳定性
5. Absolute stability of large-scale Lur'e-Postnikov systems. [D] . Cheng, Enya. 2011

机译：大规模Lur'e-Postnikov系统的绝对稳定性。
6. Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach [O] . Chao Sun, Fuli Wang, Xiqin He -1

机译：时滞时滞的TS模糊奇异系统的时滞相关稳定性和镇定准则
7. Robust stability analysis for Lur’e systems with interval time-varying delays via Wirtinger-based inequality [O] . Myeongjin Park, Ohmin Kwon, Juhyun Park, 2014

机译：通过基于Wirtinger的不等式，对具有间隔时变延迟的Lur'e系统进行鲁棒的稳定性分析

New Absolute Stability Conditions of Lur'e Systems with Time-Varying Delay

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