| 一类脉冲随机系统的有限时间有界性分析与H∞控制 |
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| 引用本文： | 姚凤麒,朱行行.一类脉冲随机系统的有限时间有界性分析与H∞控制[J].控制理论与应用,2018,35(3):291-298. |
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| 作者姓名： | 姚凤麒 朱行行 |
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| 作者单位： | 安徽工业大学电气与信息工程学院 |
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| 基金项目： | 国家自然科学基金项目(61403002), 安徽省高校优秀青年人才基金重点项目(2013SQRL024ZD), 安徽省高等学校自然科学研究重点项目(KJ2015 A011)资助. |
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| 摘 要： | 本文研究一类线性脉冲随机系统的有限时间有界性及H_∞控制问题.首先,利用Lyapunov函数和平均脉冲区间条件,建立了系统有限时间均方有界定理;其次,基于H_∞控制理论,获得了保证系统有限时间有界且满足一定的H_∞性能指标的判据;再次,针对有限时间H_∞控制问题,给出了状态反馈控制器存在的充分条件.最后,用一个数值例子表明了理论结果的有效性.
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| 关 键 词： | 有限时间有界 H∞控制 脉冲随机系统 平均脉冲区间 |
| 收稿时间： | 2017/7/12 0:00:00 |
| 修稿时间： | 2017/10/11 0:00:00 |
Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems |
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| YAO Feng-qi and ZHU Xing-xing.Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems[J].Control Theory & Applications,2018,35(3):291-298. |
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| Authors: | YAO Feng-qi and ZHU Xing-xing |
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| Affiliation: | Anhui University of Technology,Anhui University of Technology |
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| Abstract: | This paper is concerned with the problem of the finite-time boundedness and H-infinity control for a class
of linear impulsive stochastic systems. First, employing Lyapunov functions and the average impulsive interval technique,
a theorem on the finite-time boundedness in the sense of mean square is established. Then, based on the theory of Hinfinity
control, a criterion guaranteeing both the finite-time boundedness and a certain H-infinity performance index is
derived. Also, for the finite-time H-infinity control problem, some sufficient conditions for the existence of a state feedback
controller are proposed. Finally, a numerical example is given to verify the effectiveness of the theoretical results. |
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| Keywords: | finite-time boundedness H-infinity control impulsive stochastic systems average impulsive interval |
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