| 一类Filippov平面系统的闭轨 |
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| 引用本文： | 熊佩英.一类Filippov平面系统的闭轨[J].湖南文理学院学报(自然科学版),2010,22(3):7-8,44. |
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| 作者姓名： | 熊佩英 |
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| 作者单位： | 湖南城市学院,数学与计算科学系,湖南,益阳,413049 |
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| 基金项目： | 国家自然科学基金资助，湖南省教育厅资助 |
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| 摘 要： | 利用微分包含理论和点变换的方法,对一类Filippov平面系统的滑模解和闭轨的存在性进行了研究,同时给出了闭轨存在的必要条件.
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| 关 键 词： | 平面系统 闭轨 微分包含 |
Closed trajectory in a class of planar Filippov systems |
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| XIONG Pei-ying.Closed trajectory in a class of planar Filippov systems[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2010,22(3):7-8,44. |
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| Authors: | XIONG Pei-ying |
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| Institution: | XIONG Pei-ying(Department of Mathematics and Computer Science,Hunan City University,Yiyang 413049,China) |
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| Abstract: | Using the theory of differential inclusions and the method of point transformation,existence of sliding motion solutions and closed trajectory in a class of planar Filippov systems are investigated.Synchronously,the necessary conditions was given for the existence of closed trajectory. |
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| Keywords: | planar system closed trajectory differential inclusion |
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