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A simple approach to robust D‐stability analysis for uncertain singular delay systems
Authors:Renquan Lu  Hongye Su  Jian Chu  Anke Xue
Affiliation:1. School of Automation, the Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, 310018, China;2. National Key Laboratory of Industrial Control Technology, the Institute of Advanced Process Control, Zhejiang University, Hangzhou, 310027, China
Abstract: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
Keywords:Singular delay system  continuous‐time systems  robust D‐stability  structured uncertainties
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