On the Stability and Control of Dynamical System With Flexible Structure  

作　　者：王照林 徐建国 

机构地区：[1]Department of Engineering Mechanics, Tsinghua University

出　　处：《Science China Mathematics》1993年第1期36-47,共12页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China and Astronautics Ministry

摘　　要：In this paper the stability and control of complex dynamic system with elastic structure are investigated. As the dynamic model of the system is described by the coupled system of ordinary differential equations and partial differential equations, due to the effect of structure damping on the motion it is difficult to analyse the dynamic behavior of the system by the classical methods. By means of the spectrum and semigroup theories of operators in functional spaces, we have proved the existence and the uniqueness of the solution of the system. Choosing some control laws, the elastic vibrations, including the bending vibration and the torsional vibration, can be exponentially stable and the attitude orientation of the beam will be held.In this paper the stability and control of complex dynamic system with elastic structure are investigated. As the dynamic model of the system is described by the coupled system of ordinary differential equations and partial differential equations, due to the effect of structure damping on the motion it

关 键 词：ELASTIC vibration DYNAMICAL system spectrum theory SEMIGROUP of OPERATOR stability control. 

分 类 号：N[自然科学总论]