A simple approach to robust D‐stability analysis for uncertain singular delay systems

A simple approach to robust D‐stability analysis for uncertain singular delay systems
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DOI:
10.1002/asjc.119
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发表时间:
2009-07
影响因子:
2.4
通讯作者:
Renquan Lu;H. Su;J. Chu;A. Xue
Renquan Lu;H. Su;J. Chu;A. Xue
中科院分区:
计算机科学4区
文献类型:
--
作者:
Renquan Lu;H. Su;J. Chu;A. Xue

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本文给出了一种分析具有状态延迟和结构不确定性的不确定连续时间奇异系统鲁棒D稳定性的简单方法。给出了不确定连续时间奇异延迟系统是正则的、无脉冲的和D稳定的,即所有的有限极点都在给定的圆盘内的充分条件,该条件计算简单,不需要计算系统的特征值。最后给出了两个数值算例,说明了该方法的应用。版权所有©2009约翰威利父子亚洲有限公司和中国自动控制学会
This note presents a simple approach to analyze robust D‐stability for uncertain continuous‐time singular systems with state delay and structured uncertainties. Sufficient conditions, which are computationally simple, and need not calculate the eigenvalues of the system, are proposed to ensure that the uncertain continuous‐time singular delay system is regular, impulse free and D‐stable, that is, all its finite poles are located within a specified disk. Two numerical examples are given to demonstrate the application of the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society