A spectral approach to the indirect boundary control of a system of weakly coupled wave equations
Zhuangyi Liu - Department of Mathematics and Statistics, University of Minnesota, Duluth, MN 55812-2496, United States (email)
Abstract: In this paper, we study the exact controllability of a system of two weakly coupled one-dimensional wave equations with the control acted on only one equation. Using the non harmonic analysis, we establish the weak observability inequalities, which depend on the ratio of the wave propagation speeds. The obtained results are optimal.
Keywords: Ingham's inequality, non harmonic
analysis, weak observability, exact controllability
Received: December 2007; Revised: August 2008; Published: September 2008.
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