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Two kinds of generalized gradient representations for holonomic mechanical systems 被引量：5

Two kinds of generalized gradient representations for holonomic mechanical systems
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摘要 Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results. Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.
作者 梅凤翔 吴惠彬
机构地区 School of Aerospace Engineering School of Mathematics
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第1期653-656,共4页 中国物理B（英文版）
基金 supported by the National Natural Science Foundation of China(Grant No.11272050)
关键词 holonomic mechanical system generalized gradient system Lyapunov function stability holonomic mechanical system, generalized gradient system, Lyapunov function, stability
分类号 O175 [理学—基础数学]
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参考文献18

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同被引文献43

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Chinese Physics B
2016年 第1期

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