Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space

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 parameter system with multi_body flexible and multi_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 dynamics and control of the system with multi_body flexible structure, and have important engineering significance.