Two kinds of generalized gradient representations for holonomic mechanical systems

作     者：梅凤翔 吴惠彬 Feng-Xiang Mei;Hui-Bin Wu;School of Aerospace Engineering, Beijing Institute of Technology;School of Mathematics, Beijing Institute of Technology

作者机构：School of Aerospace Engineering Beijing Institute of Technology School of Mathematics Beijing Institute of Technology 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2016年第25卷第1期

页      面：653-656页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11272050) 

主　　题：holonomic mechanical system generalized gradient system Lyapunov function stability 

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.