摘要
利用现代数学方法 ,在函数空间中研究了一类无穷维系统动力学、稳定性与控制问题· 首先提出并建立了具有阻尼、陀螺部件和约束阻尼的多拓扑结构多挠体分布参数系统动力学控制模型 ;其次给出并论证了多体挠性结构特征、系统分析结果———可控可观性充要条件、稳定性理论和系统的渐近性质· 研究的结果扩充和发展了本领域关于多挠体系统动力学与控制的理论成果 ,具有重要的工程意义·
The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed paramater system with multi_body flexible and milti_topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynmaics and control of the system with multi_body flexible structure, and have important engineering significance.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第12期1267-1277,共11页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (194 0 2 0 14 )
广东省自然科学基金资助项目 (96 0 5 2 8)
关键词
多挠体系统
动力学
稳定性
函数空间
控制系统
multi_flexible_body system
dynamics
stability
control
functional space
