Improved delay-dependent stability criteria for time-delay systems
Improved delay-dependent stability criteria for time-delay systems
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DOI：
10.1109/tac.2005.843873
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发表时间：
2005-03
影响因子：
6.8
通讯作者：
Shengyuan Xu;J. Lam
中科院分区：
文献类型：
--
作者：
Shengyuan Xu;J. Lam
利用严格线性矩阵不等式给出了时滞系统渐近稳定的一个改进条件。与以前的方法不同，数学发展避免了限制某些交叉项，这往往会导致保守性。当时滞系统中存在时变范数有界不确定性时，给出了改进的时滞相关鲁棒稳定性条件。提供的例子来证明所提出的条件的保守性降低。
This note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.