**MSC:**- 93D09 Robust stability
- 34K20 Stability theory

We analyze exponential stability concepts for families of linear

delay systems. The main result states that for such families with

coefficients varying in compact convex sets various characteristic

exponents characterizing different concepts of stability coincide.

This result is obtained using methods from the theory of discrete

inclusions in Banach spaces. As a further application of this

approach a new result on slowly-varying discrete inclusions is

applied to the delay equation setting. This shows that just as in

the standard case of time-varying systems the exponential behavior

of a slowly time-varying system is determined by the limit family.