| 准单边Lipschitz非线性系统的有限时间镇定 |
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| 引用本文： | 傅勤.准单边Lipschitz非线性系统的有限时间镇定[J].铁道师院学报,2014(4):4-9. |
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| 作者姓名： | 傅勤 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州215009 |
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| 基金项目： | 国家自然科学基金资助项目（11371013） |
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| 摘 要： | 借助于有限时间稳定性的定义,对准单边Lipschitz非线性系统引入有限时间镇定的概念。并对一类准单边Lipschitz非线性系统进行了状态反馈和动态输出反馈控制器设计,这类控制器是有别于通常意义的渐近稳定控制器的。利用线性矩阵不等式（LMI）的方法,提出一个充分条件,当反馈控制律作用于该系统时,闭环系统是有限时间稳定的。
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| 关 键 词： | 有限时间镇定 准单边Lipschitz条件 线性矩阵不等式(LMI) |
Finite-time stabilization for quasi-one-sided Lipschitz nonlinear systems |
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| FU Qin.Finite-time stabilization for quasi-one-sided Lipschitz nonlinear systems[J].Journal of Suzhou Railway Teachers College(Natural Science Edition),2014(4):4-9. |
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| Authors: | FU Qin |
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| Institution: | FU Qin (School of Mathematics and Physics, SUST, Suzhou 215009, China) |
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| Abstract: | The concept of finite-time stabilization is introduced for quasi-one-sided Lipschitz nonlinear systems by the definition of finite-time stability. The design of state feedback controllers and dynamic output feedback controllers is given for a class of quasi-one-sided Lipschitz nonlinear systems. This kind of controllers is differ-ent from that of generally asymptotically stable ones. A sufficient condition is provided by using linear matrix in-equality. When the feedback control laws are applied to the systems, the closed-loop systems are finite-time sta-ble. |
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| Keywords: | finite-time stabilization quasi-one-sided Lipschitz condition linear matrix inequality（LMI） |
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