Boundary Control of the Timoshenko Beam
Copyright policy )Boundary Control of the Timoshenko Beam
The paper investigates uniform stabilization of the Timoshenko beam with boundary control. The main result of the first part, established by means of the energy method combined with \(C_ 0\)-semigroup theory, is that the natural energy of the beam decays exponentially fast. A numerical study on the spectrum is carried out in the second part of the paper, the Chebyshev - tau method being used in order to discretize the spatial variation of the eigenfunctions. Results of these numerical experiments are also presented.
- Virginia Tech United States
Numerical computation of eigenvalues and eigenvectors of matrices, boundary control, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Chebyshev - tau method, Control/observation systems governed by partial differential equations, energy method, Initial value problems for second-order hyperbolic equations, Timoshenko beam, \(C_ 0\)-semigroup theory, Groups and semigroups of linear operators, PDE in connection with control problems, Stabilization of systems by feedback, Rods (beams, columns, shafts, arches, rings, etc.), uniform stabilization
Numerical computation of eigenvalues and eigenvectors of matrices, boundary control, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Chebyshev - tau method, Control/observation systems governed by partial differential equations, energy method, Initial value problems for second-order hyperbolic equations, Timoshenko beam, \(C_ 0\)-semigroup theory, Groups and semigroups of linear operators, PDE in connection with control problems, Stabilization of systems by feedback, Rods (beams, columns, shafts, arches, rings, etc.), uniform stabilization
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