| Birkhoff系统的广义斜梯度表示 |
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| 引用本文： | 梅凤翔,吴惠彬.Birkhoff系统的广义斜梯度表示[J].动力学与控制学报,2015,13(5):329-331. |
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| 作者姓名： | 梅凤翔 吴惠彬 |
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| 作者单位： | 北京理工大学宇航学院,北京 100081,北京理工大学数学学院,北京 100081 |
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| 基金项目： | 国家自然科学基金资助项目(10932002, 11272050) |
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| 摘 要： | 提出广义斜梯度系统并研究Birkhoff系统的广义斜梯度表示.给出系统成为广义斜梯度系统的条件.利用广义斜梯度系统的性质来研究系统解的稳定性.举例说明结果的应用.
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| 关 键 词： | Birkhoff系统 广义斜梯度系统 稳定性 |
| 收稿时间： | 2015/6/15 0:00:00 |
| 修稿时间： | 2015/6/22 0:00:00 |
Generalized skew gradient representation for Birkhoff system |
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| Mei Fengxiang and Wu Huibin.Generalized skew gradient representation for Birkhoff system[J].Journal of Dynamics and Control,2015,13(5):329-331. |
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| Authors: | Mei Fengxiang and Wu Huibin |
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| Abstract: | A generalized skew gradient system is proposed, and the generalized skew gradient representation for a Birkhoff system is studied. A condition under which the Birkhoff system can be considered as a generalized skew gradient system is obtained. The characteristic of generalized skew gradient system is then used to study the stability of the Birkhoff system. The application of this developed generalized skew gradient system is also presented through some case studies in this paper. |
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| Keywords: | Birkhoff system generalized skew-gradient system stability |
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