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Lagrange系统的广义斜梯度表示
引用本文:楼智美,王元斌.Lagrange系统的广义斜梯度表示[J].动力学与控制学报,2017,15(1):6-9.
作者姓名:楼智美  王元斌
作者单位:1. 绍兴文理学院物理系,绍兴,312000;2. 绍兴文理学院数学系,绍兴,312000
基金项目:国家自然科学基金资助项目(11472177)
摘    要:提出广义斜梯度系统并研究其性质,给出非定常Lagrange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力学系统的稳定性.举例说明结果的应用.

关 键 词:Lagrange系统  广义斜梯度系统  稳定性
收稿时间:2016/1/25 0:00:00
修稿时间:2016/2/25 0:00:00

Generalized skew-gradient representation for lagrange system
Lou Zhimei and Wang Yuanbin.Generalized skew-gradient representation for lagrange system[J].Journal of Dynamics and Control,2017,15(1):6-9.
Authors:Lou Zhimei and Wang Yuanbin
Abstract:A generalized skew gradient system is proposed, and the characteristic of the system is also studied. Additionally, the condition under which a Lagrange system can be considered as a generalized skew gradient system is obtained. It shows that the characteristic of the generalized skew-gradient system can be used to study the stability of the mechanics system. Moreover, some examples are given to illustrate the application of the results.
Keywords:lagrange system  generalized skew-gradient system  stability
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