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Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays

Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays
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摘要 In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient. In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第4期664-674,共11页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China (Grant No.10771001) the Special Research Fund for the Doctoral Program of Higher Education of China (Grant No.20093401110001) the Natural Science Key Foundation of Education Department of Anhui Province (Grant No.KJ2010ZD02) the Natural Science Foundation of Education Department of Anhui Province (Grant Nos.KJ2008B152 KJ2009B098) the Foundation of Innovation Team of Anhui University
关键词 singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities. singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities.
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