Two kinds of generalized gradient representationsfor holonomic mechanical systems

doi:10.1088/1674-1056/25/1/014502

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 14502-014502.doi: 10.1088/1674-1056/25/1/014502

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Two kinds of generalized gradient representationsfor holonomic mechanical systems

Feng-Xiang Mei(梅凤翔) and Hui-Bin Wu(吴惠彬)

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2015-07-19 修回日期:2015-09-02 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Hui-Bin Wu E-mail:huibinwu@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11272050).

Two kinds of generalized gradient representationsfor holonomic mechanical systems

Feng-Xiang Mei(梅凤翔)¹ and Hui-Bin Wu(吴惠彬)²

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received:2015-07-19 Revised:2015-09-02 Online:2016-01-05 Published:2016-01-05
Contact: Hui-Bin Wu E-mail:huibinwu@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11272050).

摘要/Abstract

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.

关键词: holonomic mechanical system, generalized gradient system, Lyapunov function, stability

Abstract:

Key words: holonomic mechanical system, generalized gradient system, Lyapunov function, stability

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

梅凤翔, 吴惠彬. Two kinds of generalized gradient representationsfor holonomic mechanical systems[J]. 中国物理B, 2016, 25(1): 14502-014502.

Feng-Xiang Mei(梅凤翔) and Hui-Bin Wu(吴惠彬). Two kinds of generalized gradient representationsfor holonomic mechanical systems[J]. Chin. Phys. B, 2016, 25(1): 14502-014502.

参考文献 18

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[18]	Mei F X and Wu H B 2015 Chin. Phys. B 24 104502

Two kinds of generalized gradient representationsfor holonomic mechanical systems

Two kinds of generalized gradient representationsfor holonomic mechanical systems

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