Delay-dependent stability and stabilization of neutral time-delay systems
Delay-dependent stability and stabilization of neutral time-delay systems
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DOI：
10.1002/rnc.1384
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发表时间：
2009-08-01
影响因子：
3.9
通讯作者：
Chen, Jie
中科院分区：
文献类型：
--
作者：
Sun, Jian;Liu, G. P.;Chen, Jie
研究中立型时滞系统的稳定性与镇定问题。通过构造一个新的李雅普诺夫泛函和利用一些积分不等式，在不引入任何自由权矩阵的情况下，得到了一个新的以线性矩阵不等式形式表示的时滞相关稳定性条件.在得到的稳定性条件的基础上。还提出了一种稳定方法。使用迭代算法。可以得到状态反馈控制器。数值算例表明，所提出的方法是有效的，并导致较小的保守性的结果。版权所有（C）2008约翰威利父子有限公司
This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weightingg matrices. On the basis of the obtained stability condition. a stabilizing method is also proposed. Using an iterative algorithm. the state feedback controller can be obtained. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results. Copyright (C) 2008 John Wiley & Sons, Ltd.