Two kinds of generalized gradient representationsfor holonomic mechanical systems

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

Abstract

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.

Keywords: holonomic mechanical system generalized gradient system Lyapunov function stability

Received: 19 July 2015
Revised: 02 September 2015
Accepted manuscript online:

PACS:

45.20.Jj

(Lagrangian and Hamiltonian mechanics)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11272050).

Corresponding Authors: Hui-Bin Wu
E-mail: huibinwu@bit.edu.cn

Cite this article:

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

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