A Switching rule for the asymptotic stability of discrete-time systems with convex polytopic uncertainties

Ratchagit K.

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A Switching rule for the asymptotic stability of discrete-time systems with convex polytopic uncertainties

机译：具有凸多边形不确定性的离散时间系统渐近稳定性的切换规则

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摘要

This paper addresses the stability for a class of linear delay-difference equations with interval time-varying delays. Based on the parameter-dependent LyapunovKrasovskii functional, new delay-dependent conditions for the stability are established in terms of linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of our results.

机译：本文讨论了一类具有间隔时变时滞的线性时滞差分方程的稳定性。基于参数相关的LyapunovKrasovskii泛函，根据线性矩阵不等式建立了新的时滞相关稳定性条件。包括数值示例，以说明我们的结果的有效性。

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来源
《Asian-European journal of mathematics》 |2012年第2期|共12页
作者
Ratchagit K.;
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正文语种 eng
中图分类数学;
关键词
asymptotic stability; convex polytopic uncertainties; discrete system; linear matrix inequality; Lyapunov function; Switching design;

机译：渐近稳定性;凸多边形不确定性;离散系统;线性矩阵不等式;Lyapunov函数;切换设计;

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专利

1. A Switching rule for the asymptotic stability of discrete-time systems with convex polytopic uncertainties [J] . Ratchagit K. Asian-European journal of mathematics . 2012,第2期

机译：具有凸多边形不确定性的离散时间系统渐近稳定性的切换规则
2. Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties [J] . M Rajchakit, G Rajchakit Journal of inequalities and applications . 2012,第1期

机译：具有凸多边形不确定性的随机切换离散时间系统的均方鲁棒稳定性
3. Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties [J] . M Rajchakit, G Rajchakit Journal of inequalities and applications . 2012,第1期

机译：具有凸多边形不确定性的随机切换离散时间系统的均方鲁棒稳定性
4. Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties [C] . Huijun Gao, Lixian Zhang, Peng Shi, American Control Conference . 2006

机译：多孔不确定性的开关线性离散时间系统的稳定性和稳定性
5. Asymptotic Stabilities of Shock Waves and Rarefaction Waves under Periodic Perturbations for Inviscid and Viscous Convex Conservation Laws [D] . Yuan, Qian. 2019

机译：在缺陷和粘性凸性保护法中定期扰动下冲击波和稀疏波的渐近稳定性
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties [O] . 2012

机译：具有凸多边形不确定性的随机切换离散时间系统的均方鲁棒稳定性

A Switching rule for the asymptotic stability of discrete-time systems with convex polytopic uncertainties

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