New insight into delay-dependent stability of time-delay systems
New insight into delay-dependent stability of time-delay systems
复制标题
对时滞系统时滞相关稳定性的新见解
DOI：
10.1002/rnc.3120
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发表时间：
2015
影响因子：
3.9
通讯作者：
Zou Yun
中科院分区：
文献类型：
--
作者：
Xu Shengyuan;Lam James;Zhang Baoyong;Zou Yun
本文对时滞系统的时滞相关稳定性提出了一种新的见解。由于一个关键的观察，即所选择的Lyapunov-Krasovskii泛函的正定性不一定要求Lyapunov-Krasovskii泛函中所有涉及的对称矩阵都是正定的，因此，根据一组LMI，提出了一个改进的时滞相关渐近稳定性条件。在以前的稳定性结果的开发中忽略了这一事实。本方法的重要性在于，大量现有的关于由Lyapunov-Krasovskii稳定性定理导出的时滞系统的分析和综合的时滞相关结果可以通过使用该观察而不引入额外的变量来改进。从理论和数值上证明了所提出结果的保守性的降低。该方法为改进时滞系统的时滞相关结果提供了一个新的方向。版权所有© 2013约翰威利父子有限公司.
This paper presents a new insight into the delay‐dependent stability for time‐delay systems. Because of the key observation that the positive definiteness of a chosen Lyapunov–Krasovskii functional does not necessarily require all the involved symmetric matrices in the Lyapunov–Krasovskii functional to be positive definite, an improved delay‐dependent asymptotic stability condition is presented in terms of a set of LMIs. This fact has been overlooked in the development of previous stability results. The importance of the present method is that a vast number of existing delay‐dependent results on analysis and synthesis of time‐delay systems derived by the Lyapunov–Krasovskii stability theorem can be improved by using this observation without introducing additional variables. The reduction of conservatism of the proposed result is both theoretically and numerically demonstrated. It is believed that the proposed method provides a new direction to improve delay‐dependent results on time‐delay systems. Copyright © 2013 John Wiley & Sons, Ltd.