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非完整系统稳定性的若干进展
引用本文:朱海平 梅凤翔. 非完整系统稳定性的若干进展[J]. 力学进展, 1998, 28(1): 17-29. DOI: 10.6052/1000-0992-1998-1-J1998-119
作者姓名:朱海平 梅凤翔
作者单位:北京大学力学与工程科学系
基金项目:国家自然科学基金,高校博士点专项科研基金
摘    要:介绍非完整系统稳定性理论的某些近代进展,包括非完整系统平衡位置关于全部变量的稳定性,平衡状态流形的稳定性,平衡位置关于部分变量稳定性及其与关于全部变量的稳定性的关系,平稳运动的稳定性,以及非完整控制系统的镇定.同时,讨论非完整系统稳定性的几个主要应用,并给出几个未来研究方向的建议 

关 键 词:非完整系统   稳定性   平稳运动   流形   反馈

DEVELOPMENTS IN THE STUDIES OF STABILITY OF NONHOLONOMIC SYSTEMS
Zhu Haiping. DEVELOPMENTS IN THE STUDIES OF STABILITY OF NONHOLONOMIC SYSTEMS[J]. Advances in Mechanics, 1998, 28(1): 17-29. DOI: 10.6052/1000-0992-1998-1-J1998-119
Authors:Zhu Haiping
Affiliation:Zhu HaipingDepartment of Mechanics and Engineering Science,Peki6ng University,Beijing 100871 Mei FengxiangDepartment of Applied Mechanics,Beijing Institute of Technology,Beijing 100081
Abstract:This paper reviews developments in the study of stability of nonholonomic systems, including the stability of the equilibrium state with respect to all variables, the equilibrium manifold and the stationary motions, partial stability and the stabilization of nonholonomic control systems. Moreover, several important applications of the stability of nonholonomic systems are discussed , and some proposals for the study in the future are made.
Keywords:nonholonomic system   stability   stationary motion   manifold   feedback   stabilization  
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