Viscoelastic solids of exponential type. I. Minimal representations and controllability of the state space

Certain results about state–space representation, minimality and controllability of a linear
viscoelastic solid element of exponential type (VSET) are presented. In particular, we prove that VSET
can be viewed as materials with finite memory. This is a first part of a plan which will be continued in a
next paper, by studying free energies, stability and attractors in viscoelasticity of exponential type.