Title :
Boundary control of the one-dimensional wave equation
Author :
Grainger, J.J. ; Novotny, D.W.
Abstract :
Through the method of characteristics, literal-form expressions are derived for the one- and two-boundary controls of the one-dimensional wave equation. These formulas offer a basis for solution of a number of optimal control problems.
Keywords :
Boundary conditions; Control systems; Controllability; Differential equations; Eigenvalues and eigenfunctions; Force control; Optimal control; Partial differential equations; Vibration control;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1971.8140
