On Controllability of Linear Vibrations

Nova Science Publishers, 2002, 161 pages. This book iis devoted to the problem of null-controllability of undamped and damped linear vibrations. This problem is formulated with the aid of linear differential equations in Hilbert spaces which gives exactly the right abstract framework for the description of vibrations with finitely and infinitely many degrees of freedom. Two cases (distributed and boundary control) are treated separately and it is shown how boundary control can be transferred to distributed control. The book also treats the problem of controllability of a Timoshenko beam which rotates in a horizontal plane.