Delay-dependent criteria for robust stability of time-varying delay systems
Delay-dependent criteria for robust stability of time-varying delay systems
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DOI：
10.1016/j.automatica.2004.03.004
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发表时间：
2004-08-01
期刊：
影响因子：
6.4
通讯作者：
Liu, GP
中科院分区：
文献类型：
--
作者：
Wu, M;He, Y;Liu, GP
本文研究具有时变结构不确定性和时变时滞的系统的时滞相关鲁棒稳定性问题。通过考虑莱布尼茨-牛顿公式中各项之间的关系，设计了一些新的延迟相关稳定性标准。由于使用自由权重矩阵来表达这种关系，并且由于通过线性矩阵不等式来选择适当的矩阵，因此新标准比现有标准更加保守。数值例子表明，所提出的标准是有效的，并且比以前的标准有所改进。 (C) 2004 Elsevier Ltd. 保留所有权利。
This paper deals with the problem of delay-dependent robust stability for systems with time-varying structured uncertainties and time-varying delays. Some new delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Since free weighting matrices are used to express this relationship and since appropriate ones are selected by means of linear matrix inequalities, the new criteria are less conservative than existing ones. Numerical examples suggest that the proposed criteria are effective and are an improvement over previous ones. (C) 2004 Elsevier Ltd. All rights reserved.