Lagrange系统的广义斜梯度表示  

GENERALIZED SKEW-GRADIENT REPRESENTATION FOR LAGRANGE SYSTEM

作　　者：楼智美[1] 王元斌[2] 

机构地区：[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

出　　处：《动力学与控制学报》2017年第1期6-9,共4页Journal of Dynamics and Control

基　　金：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.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.

关 键 词：LAGRANGE系统 广义斜梯度系统 稳定性 

分 类 号：O175[理学—数学]