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Necessary conditions for the stability of one delay systems: a Lyapunov matrix approach

机译：一个延迟系统稳定性的必要条件：Lyapunov矩阵方法

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摘要

Necessary conditions for the exponential stability of one delay linear systems expressed in terms of the Lyapunov matrix of the system are proved. The effectiveness of the proposed conditions is shown in illustrative examples.

机译：证明了在系统Lyapunov矩阵方面表达的一个延迟线性系统的指数稳定性的必要条件。所提出的条件的有效性在说明性实例中示出。

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《IFAC Workshop on Time Delay Systems》|2012年||共6页
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作者
S. Mondie; C. Cuvas; A. Ramirez; A. Egorov;
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原文格式 PDF
正文语种
中图分类 TP273-53;
关键词
Delay linear systems; Stability; Lyapunov matrix; Lyapunov-Krasovskii approach;

机译：延迟线性系统;稳定性;Lyapunov Matrix;Lyapunov-Krasovskii方法;

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1. Instability conditions for linear time delay systems: A Lyapunov matrix function approach [J] . Mondié S., Ochoa G., Ochoa B. International Journal of Control . 2011,第10a12期

机译：线性时滞系统的不稳定性条件：Lyapunov矩阵函数法
2. Necessary conditions for the exponential stability of time-delay systems via the Lyapunov delay matrix [J] . A. V. Egorov, S. Mondié International Journal of Robust and Nonlinear Control . 2014,第12期

机译：通过Lyapunov时滞矩阵实现时滞系统指数稳定性的必要条件
3. Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach [J] . Gao Zifan, Yang Jiaxiu, Zhu Shuqian Mathematical Problems in Engineering . 2019,第PTa15期

机译：通过增强Lyapunov-Krasovskii功能方法改善T-S模糊时滞系统的延迟依赖性稳定性和稳定条件
4. Necessary conditions for the stability of one delay systems: a Lyapunov matrix approach [C] . S. Mondie, C. Cuvas, A. Ramirez, IFAC Workshop on Time Delay Systems . 2012

机译：一个延迟系统稳定性的必要条件：Lyapunov矩阵方法
5. Lyapunov-based control of saturated and time-delayed nonlinear systems. [D] . Fischer, Nic. 2012

机译：基于Lyapunov的饱和和时滞非线性系统的控制。
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

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7. Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach [O] . Zifan Gao, Jiaxiu Yang, Shuqian Zhu 2019

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Necessary conditions for the stability of one delay systems: a Lyapunov matrix approach

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