苏州科技大学学报（自然科学版）2018，Vol.35Issue(1)：6-11,6.DOI:10.12084/j.issn.2096-3289.2018.01.002
可控约束Hamilton系统的Lie对称性与守恒量研究
Lie symmetries and conserved quantities of controllable constrained Hamilton system
摘要
Abstract
This paper investigated the Lie symmetries and conserved quantities of singular systems with control-lable constrained parameters in phase space, which can lay the foundation for the design of advanced control strategies for singular systems. The controllable constraints were treated as external and usually nonholonomic constraints. Considering the consistency between the constraint and the inherent constraints of the system, the author presented the canonical equations of the controllable constrained Hamilton system. Based on the total derivative calculation of arbitrary mechanical quantities along the trajectory system, the author provided the de-termination equations,the limiting equations and the additional limiting equations for the determination of the Lie symmetry of the Hamilton system with controllable constraints by using the invariance of differential equations and algebraic equations under infinitesimal transformations. By constructing the conditional structure equation satisfied by norm functions, the author obtained the form of conserved quantities by Lie symmetry of controllable singular systems in phase space.Finally,an example for the application was given.关键词
可控参数/约束Hamilton系统/Lie对称/守恒量Key words
controllable parameter/constrained Hamilton system/Lie symmetry/conserved quantity分类
数理科学引用本文复制引用
郑明亮..可控约束Hamilton系统的Lie对称性与守恒量研究[J].苏州科技大学学报（自然科学版）,2018,35(1):6-11,6.基金项目
国家自然科学基金资助项目(11472247) （11472247）
