A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays

Fengying Xu; Daxin Li

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A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays

机译：时滞离散系统的时延依赖稳定性和鲁棒性能分析的简化描述符系统方法

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A simplified descriptor system approach is proposed for discrete-time systems with delays in terms of linear matrix inequalities. In comparison with the results obtained by combining the descriptor system approach with recently developed bounding technique, our approach can remove the redundant matrix variables while not reducing the conservatism. It is shown that the bounding technique is unnecessary in the derivation of our results. Via the proposed method, delay-dependent results on quadratic cost and H_∞ performance analysis are also presented.

机译：针对具有线性矩阵不等式延迟的离散时间系统，提出了一种简化的描述符系统方法。与通过将描述符系统方法与最近开发的边界技术相结合所获得的结果相比，我们的方法可以删除冗余矩阵变量，而不会降低保守性。结果表明，在得出结果时不需要边界技术。通过提出的方法，还给出了与时滞有关的二次成本结果和H_∞性能分析。

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《Mathematical Problems in Engineering》 |2013年第3期|810271.1-810271.6|共6页
作者
Fengying Xu; Daxin Li;
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Physical Education Department, Qufu Normal University, Qufu, Shandong 273165, China;

Physical Education Department, Qufu Normal University, Qufu, Shandong 273165, China;

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1. A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays [J] . FengyingXu, DaxinLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第5期

机译：时滞离散系统的时延依赖稳定性和鲁棒性能分析的简化描述符系统方法
2. Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems [J] . S. Xu, J. Lam, Y. Zou IEE Proceedings. Part D, Control Theory and Applications . 2005,第2期

机译：用于时滞系统的依赖于延迟的稳定性和性能分析的简化描述符系统方法
3. Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems [J] . S. Xu, J. Lam, Y. Zou IEE Proceedings. Part D, Control Theory and Applications . 2005,第2期

机译：用于时滞系统的依赖于延迟的稳定性和性能分析的简化描述符系统方法
4. New approach to delay-dependent stability of two-dimensional discrete-time systems with interval time-varying delays [C] . Jing Zhang, Dan Peng, Changchun Hua, Chinese Control and Decision Conference . 2017

机译：具有间隔时变时滞的二维离散时间系统时滞相关稳定性的新方法
5. Robust synthesis of discrete-time multivariable control systems with induced delays. [D] . Shen, Hong. 1992

机译：具有诱导延迟的离散时间多变量控制系统的鲁棒综合。
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Delay-dependent Robust Stability of Discrete-time Uncertain Delayed Descriptor Systems using Quantization/overflow Nonlinearities [O] . Jong-Hae Kim, Do-Cang Oh 2013

机译：使用量化/溢出非线性的离散时间不确定延迟描述符系统的延迟依赖性稳定性

A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays

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