| 具有时滞的不确定鲁里叶控制系统的绝对鲁棒稳定性 |
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| 引用本文： | 年晓红,樊晓平.具有时滞的不确定鲁里叶控制系统的绝对鲁棒稳定性[J].控制理论与应用,2001,18(6):925-928. |
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| 作者姓名： | 年晓红 樊晓平 |
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| 作者单位： | 1. 北京大学力学与工程科学系;中南大学自动化工程研究中心
2. 中南大学自动化工程研究中心, |
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| 基金项目： | supported by the National Natural Science Foundation of China (69975003) and Natural Science Key Foundation of Hunan Province (00JJY1009). |
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| 摘 要： | 讨论了具有时滞的非线性不确定鲁里叶控制系统的鲁棒绝对稳定性问题，应用Bellman-Gronwell不等式和Lyapunov泛函方法研究了不确定鲁里叶控制系统的鲁棒绝对稳定性并给出了系统的滞相关稳定和时滞无关稳定的充分判据，运用这些条件可以直接估计具有时滞的非线性不确定鲁里叶控制系统的鲁棒绝对稳定界和时滞界。
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| 关 键 词： | 不确定性 鲁棒绝对稳定性 鲁里叶控制系统 时滞系统 |
| 文章编号： | 1000-8152(2001)06-0925-04 |
| 收稿时间： | 2000/7/25 0:00:00 |
| 修稿时间： | 2000年7月25日 |
Robust Stability for Uncertain Lurie Control Systems with Time-Delay |
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| NIAN Xiao-hong and FAN Xiao-ping.Robust Stability for Uncertain Lurie Control Systems with Time-Delay[J].Control Theory & Applications,2001,18(6):925-928. |
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| Authors: | NIAN Xiao-hong and FAN Xiao-ping |
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| Affiliation: | Research Center for Automation Engineering, Central South University, Changsha, 410075, P.R.China; Department of Mechanics and Engineering Sciences, Peking University, Beijing, 100871,P.R.China;Research Center for Automation Engineering, Central South University, Changsha,410075,P.R.China |
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| Abstract: | This paper deals with the problem of robust absolute stability for uncertain nonlinear Lurie control systems with time delay. The well known Bellman Gronwel inequality and the Lyapunov functional are used to study the robust absolute stability of Lurie control systems with time delay, and the criteria for both delay dependent and delay independent stability are obtained. By using these conditions, one can estimate the robust absolute stability bound and the delay bound of uncertain nonlinear Lurie control systems with time delay directly. |
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| Keywords: | time delay uncertainty robust absolute stability Lurie control system |
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