Abstract and Applied Analysis
Volume 1 (1996), Issue 2, Pages 219-236
Interior point control and observation for the wave equation
Department of Electrical and Computer Engineering, Oregon State University, Corvallis 97331, OR, USA
Received 20 September 1995
Copyright © 1996 A. Y. Khapalov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper is concerned with the approximate and exact controllability
properties of the wave equation with interior point controls entering
via the concentrated force, the velocity of the displacement and the moment.
The emphasis is given to the moving point controls and their dual
observations whose advantages and disadvantages, versus the static ones,
are analyzed with respect to the space dimension, the duration of the
control time interval and the function spaces involved.