| Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays |
| Received:June 20, 2008 Revised:October 06, 2008 |
| Key Words:
singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities.
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| Fund Project: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 Anh |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.04.011 |
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