Abstract and Applied Analysis
Volume 1 (1996), Issue 2, Pages 219-236

Interior point control and observation for the wave equation

A. Y. Khapalov

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.