LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

Chang-Hua LIEN; Jenq Der CHEN; Ker-Wei YU

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LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

机译：具有多个时滞的不确定系统的LMI稳定性判据

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摘要

Robust asymptotic stability for a class of uncertain systems with multiple time delays is considered. Lyapunov theory and linear matrix inequality (LMI) approach are applied to solve the stability problem for such systems. New delay dependent criterion is derived to guarantee stability for the systems. Some numerical examples are given to demonstrate that our robust stability condition is less conservative than those reported in the recent literature.

机译：考虑了一类具有多个时滞的不确定系统的鲁棒渐近稳定性。应用李雅普诺夫理论和线性矩阵不等式（LMI）方法来解决此类系统的稳定性问题。推导了新的依赖于延迟的准则，以保证系统的稳定性。给出了一些数值例子来证明我们的鲁棒稳定性条件不如最近文献报道的保守。

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《JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing》 |2003年第3期|p.1108-1111|共4页
作者
Chang-Hua LIEN; Jenq Der CHEN; Ker-Wei YU;
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正文语种 eng
中图分类机械、仪表工业;机械学（机械设计基础理论）;
关键词
Asymptotic Stability; Delay Dependent Criterion; Multiple Time Delays; Uncertain Systems; Linear Matrix Inequality (LMI);

机译：渐近稳定性时滞相关准则多重时滞不确定系统线性矩阵不等式（LMI）;

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专利

1. LMI Stability Criterion for Uncertain Systems with Multiple Time Delays [J] . Chang-Hua LIEN, Jenq Der CHEN, Ker-Wei YU JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 2003,第3期

机译：具有多个时滞的不确定系统的LMI稳定性判据
2. LMI Stability Criterion for Uncertain Systems with Multiple Time Delays [J] . Chang-Hua LIEN, Jenq Der CHEN, Ker-Wei YU JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 2003,第3期

机译：具有多个时滞的不确定系统的LMI稳定性判据
3. An improved delay-dependent stability criterion for linear uncertain systems with multiple time-varying delays [J] . Fucheng Liao, Jiang Wu, Masayoshi Tomizuka International Journal of Control . 2014,第4a6期

机译：具有多个时变时滞的线性不确定系统的改进的时滞相关稳定性准则
4. An LMI approach for robust stability of linear uncertain systems with time-varying multiple state delays [C] . Su, T.J., Lu, Decision and Control, 2000. Proceedings of the 39th IEEE Conference on . 2000

机译：具有时变多状态时滞的线性不确定系统鲁棒稳定性的LMI方法
5. Stability of uncertain piecewise affine time-delay systems with application to all wheel drive clutch control. [D] . Duan, Shiming. 2011

机译：不确定分段仿射时滞系统的稳定性及其在全轮驱动离合器控制中的应用。
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. Exponential Stability Criterion for Uncertain Retarded Systems with Multiple Time-Varying Delays [O] . Sun Yeong-Jeu, Hsieh Jer-Guang, Hsieh Yih-Chang 1996

机译：时滞不确定的不确定时滞系统的指数稳定性判据
8. Mikhailov Stability Criterion for Time-Delayed Systems [R] . L. Keith Barker 1979

机译：时滞系统的mikhailov稳定性判据

LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

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