| 关于李雅普诺夫函数的几点注记 |
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| 引用本文： | 徐助跃.关于李雅普诺夫函数的几点注记[J].湖南文理学院学报(自然科学版),2013(1):1-4. |
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| 作者姓名： | 徐助跃 |
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| 作者单位： | 湘西自治州民族广播电视大学教务处 |
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| 基金项目： | 国家开放大学立项重点科研课题(Q2705E);湖南省科学技术厅科技计划一般项目(2012FJ4334) |
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| 摘 要： | 给出了关于李雅普诺夫函数的3个定义和3个定理，举例说明了所得定义和定理的应用，并给出了利用广义霍维茨条件构造非线性系统李雅普诺夫函数的“三步法”．
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| 关 键 词： | 李雅普诺夫函数 广义霍维茨条件 非线性系统 线性系统 |
Some notes on Lyapunov function |
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| XU Zhu-yue.Some notes on Lyapunov function[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2013(1):1-4. |
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| Authors: | XU Zhu-yue |
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| Institution: | XU Zhu-yue(Dean’s Office,XiangXi National Radio and TV University,Jishou 416000,China) |
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| Abstract: | Three definitions and three theorems of Lyapunov function were put forward, and then these definitions and theorems were illustrated with some examples. Finally, under the generalized Hurwitz condition, the ＂three-step method＂ was put forward to construct Lyapunov function of nonlinear system. |
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| Keywords: | Lyapunov function generalized Hurwitz condition nonlinear system linear system |
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