Robust stability criteria for a class of uncertain discrete-time systems with time-varying delay

K. Ramakrishnan; G. Ray

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Robust stability criteria for a class of uncertain discrete-time systems with time-varying delay

机译：一类具有时变时滞的不确定离散系统的鲁棒稳定性判据

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摘要

In this paper, we consider the problem of delay-dependent robust stability of a class of uncertain discrete-time systems with time-varying delay using Lyapunov functional approach. Two categories of time-varying uncertainties are considered for the robust stability analysis: viz., (ⅰ) nonlinear perturbations and (ⅱ) norm-bounded uncertainties. In the proposed stability analysis, by exploiting a candidate Lyapunov functional, and using minimal number of slack matrix variables, less conservative stability criteria are developed in terms of linear matrix inequalities (LMIs) for computing the maximum allowable bound of the delay-range, within which, the uncertain system under consideration remains asymptotically stable in the sense of Lyapunov. The effectiveness of the proposed stability criteria is demonstrated using standard numerical examples.

机译：在本文中，我们使用Lyapunov函数方法考虑了一类时变时滞不确定的离散时间系统的时滞相关鲁棒稳定性问题。对于鲁棒稳定性分析，考虑了两类随时间变化的不确定性：即（ⅰ）非线性扰动和（ⅱ）范数界不确定性。在提出的稳定性分析中，通过利用候选Lyapunov函数，并使用最少数量的松弛矩阵变量，就线性矩阵不等式（LMI）而言，开发了较少保守的稳定性标准，用于计算延迟范围的最大允许范围在Lyapunov的意义上，所考虑的不确定系统保持渐近稳定。所提出的稳定性标准的有效性通过标准数值示例得到了证明。

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来源
《Applied Mathematical Modelling》 |2013年第3期|1468-1479|共12页
作者
K. Ramakrishnan; G. Ray;
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作者单位

Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India;

Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
discrete-time systems; delay-dependent stability; time-varying delay; nonlinear perturbations; norm-bounded uncertainties;

机译：离散时间系统;时延相关的稳定性时变延迟非线性扰动规范约束的不确定性;

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2. Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays [J] . Shuang Liang, Yali Dong Journal of control science and engineering . 2016,第pta1期

机译：一类具有时变时滞的不确定非线性离散时间随机系统的鲁棒稳定性和镇定
3. Improved delay-dependent robust stability criteria for a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays and sector-bounded nonlinearity [J] . Wang Y., Zhang X., He Y. Nonlinear analysis. Real world applications . 2012,第5期

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4. Delay-Partition-Dependent Robust Stability Criteria for Uncertain Discrete-Time Systems with an Interval Time-Varying State Delay [C] . Qiu Li, Yantao Wang, Huanyu Zhu, International conference on computer, communication, control and automation;3CA 2011 . 2011

机译：不确定时滞系统的时滞划分与时滞相关的鲁棒稳定性判据
5. Robustness analysis of uncertain linear systems and robust stabilization of uncertain delayed systems. [D] . Basker, Varadharajan Radhamani. 1998

机译：不确定线性系统的鲁棒性分析和不确定延迟系统的鲁棒稳定性。
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. Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays [O] . Shuang Liang, Yali Dong 2016

机译：间隔时变延迟一类不确定非线性离散时间随机系统的鲁棒稳定性和稳定性

Robust stability criteria for a class of uncertain discrete-time systems with time-varying delay

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