The asymptotic stability of linear autonomous systems withcommensurate time delays

Juing-Huei Su

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The asymptotic stability of linear autonomous systems withcommensurate time delays

机译：具有相应时滞的线性自治系统的渐近稳定性

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The asymptotic stability of linear systems with commensurate time delays is studied. Algorithms are given to check if a given system is asymptotically stable independent of delay or to determine the largest delay time the system can tolerate to preserve its asymptotic stability. These algorithms are simple to apply since they require only to find the eigenvalues of two specially constructed matrices and some simple mathematical calculations

机译：研究了具有相应时滞的线性系统的渐近稳定性。给出了算法来检查给定系统是否独立于延迟而渐近稳定，或者确定系统可以忍受的最大延迟时间以保持其渐近稳定性。这些算法易于应用，因为它们仅需要查找两个特殊构造的矩阵的特征值和一些简单的数学计算即可

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《IEEE Transactions on Automatic Control》 |1995年第6期|p.1114-1117|共4页
作者
Juing-Huei Su;
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正文语种 eng
中图分类自动化系统;
关键词
asymptotic stability; delay systems; delays; eigenvalues and eigenfunctions; asymptotic stability; commensurate time delays; eigenvalues; linear autonomous systems;

机译：渐近稳定性;时滞系统;时滞;特征值和特征函数;渐近稳定性;相称的时滞;特征值;线性自治系统;

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1. NECESSARY AND SUFFICIENT CONDITIONS FOR DELAY-DEPENDENT ASYMPTOTIC STABILITY OF LINEAR COTINUOUS LARGE SCALE TIME DELAY AUTONOMOUS SYSTEMS [J] . Sreten B. Stojanovic, Dragutin Lj. Debeljkovic Asian Journal of Control . 2005,第4期

机译：线性连续大尺度时滞自治系统的时滞渐近渐近稳定性的充要条件
2. A note on 'the asymptotic stability of linear autonomous systems with commensurate time delays' [J] . Lou JS, VandenBosch PPJ International Journal of Control . 1997,第4期

机译：关于“具有相应时滞的线性自治系统的渐近稳定性”的注记
3. The asymptotic stability of linear autonomous systems with commensurate time delays [J] . Juing-Huei Su IEEE Transactions on Automatic Control . 1995,第6期

机译：具有相应时滞的线性自治系统的渐近稳定性
4. Necessary and Sufficient Conditions for Delay-Dependent Asymptotic Stability of Linear Discrete Time Delay Autonomous Systems [C] . Sreten B. Stojanovic, Dragutin Lj. Debeljkovic IFAC World Congress . 2008

机译：线性离散时间延迟自主系统的延迟依赖性渐近稳定性的必要和充分条件
5. Hopf bifurcation from infinity in asymptotically linear autonomous systems with delay. [D] . Biglands, Adrian James. 2009

机译：渐近线性自治系统中无穷时滞的Hopf分岔。
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. NECESSARY AND SUFFICIENT CONDITIONS FOR DELAY-DEPENDENT ASYMPTOTIC STABILITY OF LINEAR COTINUOUS LARGE SCALE TIME DELAY AUTONOMOUS SYSTEMS [O] . Sreten B. Stojanovic, Dragutin Lj. Debeljković 2004

机译：线性连续大时滞自治系统延迟相关渐近稳定的充要条件和充分条件

The asymptotic stability of linear autonomous systems withcommensurate time delays

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