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We consider a linear viscoelastic system of Maxwell-Boltzmann type. Hence,viscosity contributes a memory term to the elastic equation. The system iscontrolled via the traction exerted on a part $\Gamma_1$ of the boundary of thebody. We prove that if the associated elastic system (i.e. the elastic systemwithout memory) is exactly controllable then the viscoelastic system is exactlycontrollable too. This is similar to the known result when the boundarydeformation is controlled, but the proof is far more delicate sincecontrollability under boundary traction corresponds to the fact that a certainsequence of functions is a Riesz-Fisher sequence, but not a Riesz sequence.

Controllability of a linear system with persistent memory via boundary traction