| 时滞分布参数系统的指数渐近稳定性 |
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| 引用本文： | 崔宝同,邓飞其,王伟,刘永清. 时滞分布参数系统的指数渐近稳定性[J]. 系统工程与电子技术, 2003, 25(5): 579-583 |
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| 作者姓名： | 崔宝同 邓飞其 王伟 刘永清 |
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| 作者单位： | 华南理工大学自动化科学与工程学院,广东,广州,510641 |
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| 基金项目： | 国家自然科学基金(69934030)，广东省自然科学基金(011629)资助课题 |
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| 摘 要： | 基于Lyapunov稳定性理论,利用辅助函数方法研究由变时滞分布参数控制系统所导出的滑动模运动方程的指数渐近稳定性问题,获得了一类滑动模运动方程指数渐进稳定的充分条件,建立了滑动模运方程解的指数渐近稳定性定理。这就为研究时滞分布参数系统的变结构控制问题奠定了理论基础。
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| 关 键 词： | 分布参数系统 指数渐近稳定性 滑动模方程 时滞 |
| 文章编号： | 1001-506X(2003)05-0579-05 |
| 修稿时间： | 2002-05-25 |
Exponential Asymptotical Stability for Distributed Parameter Systems with Time Delays |
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| CUI Bao-tong,DENG Fei-qi,WANG Wei,LIU Yong-qing,. Exponential Asymptotical Stability for Distributed Parameter Systems with Time Delays[J]. System Engineering and Electronics, 2003, 25(5): 579-583 |
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| Authors: | CUI Bao-tong DENG Fei-qi WANG Wei LIU Yong-qing |
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| Abstract: | Based on Lyapunov stability theory, the exponential asymptotical stability for a class of sliding mode equations rising in distributed parameter control systems with time delays is investigated by using inequality analysis as the main mathematic tool. Sufficient conditions are found for exponential asympotical stability for the sliding mode equations with delays and a theorem of the exponential asympotical stability for the sliding mode equations is established. The results on the exponential asymptotical stability of the distriubted parameter control systems with time delays provide the theoretical foundation for the variable structure control problem of the distributed parameter systems. |
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| Keywords: | Distributed parameter system Exponential asymptotical stability Sliding mode equation Delay |
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