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New Delay Product Type Lyapunov-Krasovskii Functional for Stability Analysis of Time-Delay System

机译：新延迟产品类型Lyapunov-Krasovskii功能稳定性分析时间延迟系统

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This paper concerns delay-dependent stability analysis of linear system with time-varying delay. A new delay-product based functional (DPF) is formulated by including the new states introduced in the second order Bessels-Legendre integral inequality. Two delay-dependent stability criteria are derived in terms of linear matrix inequalities by utilizing this DPF in combination with improved reciprocally convex lemma and bounding technique reciprocal lemma. Two numerical examples are considered for demonstrating the improvement provided by the proposed criteria.

机译：本文涉及具有时变延迟的线性系统的延迟依赖性稳定性分析。基于新的延迟产品的功能（DPF）由在二阶Bessels-Legendre积分不等式中引入的新状态制定。通过利用这种DPF与改进的相互凸起的引理和偏转技术相互作用，在线性矩阵不等式导出两个延迟依赖性稳定性标准。认为两个数值例子用于证明所提出的标准提供的改进。

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来源
《Polish Control Conference》|2020年|xviii 833 pages :|共12页
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作者
Sharat Chandra Mahto; Sandip Ghosh; Shyam Krishna Nagar; Pawel Dworak;
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原文格式 PDF
正文语种
中图分类 TP273-532;
关键词
Stability; Time-delay systems; Lyapunov-Krasovskii functional; LMI;

机译：稳定性;时间延迟系统;Lyapunov-Krasovskii功能;LMI;

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1. Improved delay-dependent stability analysis for linear time-delay systems: Based on homogeneous polynomial Lyapunov-Krasovskii functional method [J] . Zhang Huasheng, Xia Jianwei, Zhuang Guangming Neurocomputing . 2016,第Juna12期

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2. Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay [J] . Xian-Ming Zhang, Qing-Long Han, Xiaohua Ge 自动化学报：英文版 . 2021,第001期

机译：使用Lyapunov-Krasovskii功能的线性时滞系统具有立方多项式的新型稳定性标准
3. Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay [J] . Xian-Ming Zhang, Qing-Long Han, Xiaohua Ge 自动化学报（英文版） . 2021,第001期

机译：使用Lyapunov-Krasovskii功能的线性时滞系统具有立方多项式的新型稳定性标准
4. New Delay Product Type Lyapunov-Krasovskii Functional for Stability Analysis of Time-Delay System [C] . Sharat Chandra Mahto, Sandip Ghosh, Shyam Krishna Nagar, Polish Control Conference . 2020

机译：新延迟产品类型Lyapunov-Krasovskii功能稳定性分析时间延迟系统
5. The stability analysis of linear dynamical systems with time-delays . [D] . Kamath, Ajeet Ganesh. 2006

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6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

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New Delay Product Type Lyapunov-Krasovskii Functional for Stability Analysis of Time-Delay System

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