| On Robust Stability of a Class of Uncertain Nonlinear Systems with Time—Varying Delay |
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| 引用本文： | NIANXiao－hong.On Robust Stability of a Class of Uncertain Nonlinear Systems with Time—Varying Delay[J].系统科学与系统工程学报(英文版),2002,11(2):129-135. |
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| 作者姓名： | NIANXiao－hong |
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| 作者单位： | NIAN Xiao-hongDepartment of Mechanics and Engineering Sciences，Peking University，Beijing 100871，China; Institute of Information and Control Engineering，Central South University，Changsha 410075，China |
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| 基金项目： | This project is supported by National Natural Science Foundation of China (69974031) and the Key Natural Science Foundation of Hunan Province (OOJJY1009) |
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| 摘 要： | The problem of robust stability of a class of uncertain nonlinear dynamical systems with time-delay is considered. Based on the assumption that the nominal system is stable, some sufficient conditions on robust stability of uncertain nonlinear dynamical systems with time-delay are derived. Some analytical methods and a type of Lyapunov functional are used to investigate such sufficient conditions. The results obtained in this paper are applicable to perturbed time-delay systems with unbounded time-varying delay. Some previous results are improved and a numerical example is given to demonstrate the validity of our results.
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| 关 键 词： | 系统工程 时间延迟 不确定非线系统 稳定性 |
On Robust Stability of a Class of Uncertain Nonlinear Systems with Time-Varying Delay |
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| NIAN Xiao-hong.On Robust Stability of a Class of Uncertain Nonlinear Systems with Time-Varying Delay[J].Journal of Systems Science and Systems Engineering,2002,11(2):129-135. |
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| Authors: | NIAN Xiao-hong |
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| Institution: | Department of Mechanics and Engineering Sciences, Peking University,Beijing 100871, China;Institute of Information and Control Engineering, Central South University, Changsha 410075, China |
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| Abstract: | The problem of robust stability of a class of uncertain nonlinear dynamical systems with time-delay is considered. Based on the assumption that the nominal system is stable, some sufficient conditions on robust stability of uncertain nonlinear dynamical systems with time-delay are derived. Some analytical methods and a type of Lyapunov functional are used to investigate such sufficient conditions. The results obtained in this paper are applicable to perturbed time-delay systems with unbounded time-varying delay. Some previous results are improved and a numerical example is given to demonstrate the validity of our results. |
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| Keywords: | robust stability nonlinear time-delay uncertainty |
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