`application/pdf`

.

##
###
Controllability of a Generalized Damped Wave Equation Controllability of a Generalized Damped Wave Equation

2006
unpublished

In this paper we give a necessary and sufficient algebraic condition for the controllability of the following generalized damped wave equation on a Hilbert space X ¨ w + ηA α ˙ w + γA β w = d 1 u 1 + · · · + d m u m , if α > 0 u(t), if α = 0, where t ≥ 0, γ > 0, η > 0, β ≥ 0 and d i ∈ X; the scalar control functions u i ∈ L 2 (0, t 1 ; IR); the distributed control u ∈ L 2 (0, t 1 ; X) and A : D(A) ⊂ X → X is a positive defined self-adjoint unbounded linear operator in X with compact resolvent.

fatcat:wi46zo45u5fyjehnwtj74gprti