New results of stability analysis for systems with time‐varying delay
New results of stability analysis for systems with time‐varying delay
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DOI：
10.1002/rnc.1456
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发表时间：
2010-03
影响因子：
3.9
通讯作者：
Xun-lin Zhu;Guanghong Yang
中科院分区：
文献类型：
--
作者：
Xun-lin Zhu;Guanghong Yang
研究了具有时变时滞的连续时间系统的稳定性分析问题。通过发展时滞分解方法，充分考虑了时滞对象状态的信息，并根据线性矩阵不等式得到了新的与时滞相关的充分稳定性判据。该方法通过在分解的积分区间中选择不同的Lyapunov矩阵和更精确地估计交叉项的上界来实现，其优点在于保守性较差。数值算例说明了该方法的有效性和较低的保守性。版权所有©2009 John Wiley & Sons， Ltd
This paper studies the problem of stability analysis for continuous‐time systems with time‐varying delay. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay‐dependent sufficient stability criteria are obtained in terms of linear matrix inequalities. The merits of the proposed results lie in their less conservatism, which are realized by choosing different Lyapunov matrices in the decomposed integral intervals and estimating the upper bound of some cross term more exactly. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.