Exact Controllability of the Damped Timoshenko Beam with one End Fixed
Consider a one-dimensional system controlled by two partial differential equations and two ordinary differential equations.One end of the system is fixed to a rigid antenna and the other end completely free.Because the rigid antenna is attached to one side of the system,its dynamics result in non-standard boundary conditions and the whole system becomes an elastic hybrid system.Using semigroup method,the existence and uniqueness of system solutions are studied.By applying control to only one side of the system,we establish the theory of exact controllability.Using the Hilbert unique-ness method,it is proved that the system is exactly controllable in the usual energy space for any short time.We will also estimate the minimum time allowed by the method for the controllability to occur.
NETL
NSTL
万方数据
