Uniform Observability for a Finite Differences Discretization of a Clamped Beam Equation. Issue 8 (2016)

• Record Type: Journal Article
• Authors: Cîndea, Nicolae; Micu, Sorin; Rovenţa, Ionel
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 8(2016)
• Page Start: 315
• Page End: 320
• Publication Date: 2016
• Subjects: Beam equation -- Uniform observability -- Numerical controllability -- Discrete multipliers method; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.07.460
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The aim of this paper is to prove a uniform observability inequality for a finite differences semi-discretization of a clamped beam equation. A discrete multiplier method is employed in order to obtain the uniform observability of the eigenvectors of the matrix driving the semi-discrete system, corresponding to eigenfrequencies smaller than a precise filtering threshold. This result can be generalized to the uniform observability of every filtered solution. Numerical simulations, concerning the dual controllability problem, illustrate the theoretical results.