A Numerical Method of Local Energy Decay for the Boundary Controllability of Time-Reversible Distributed Parameter Systems
This paper deals with the numerical computation of the boundary controls of linear, time-reversible, second-order evolution systems. Based on a method introduced by Russell (Stud. Appl. Math. LII(3) (1973)) for the wave equation, a numerical algorithm is proposed for solving this type of problems. The convergence of the method is based on the local energy decay of the solution of a suitable Cauchy problem associated with the original control system. The method is illustrated with several numerical simulations for the Klein–Gordon and the Euler–Bernoulli equations in 1D, the wave equation on a rectangle, and the plate equation on a disk.
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Document Type: Research Article
Affiliations: Universidad de Castilla-La Mancha ETSI Industriales, Universidad Politécnica de Cartagena Universidad Politécnica de Cartagena
Publication date: July 1, 2008