This paper treats the robust H-2 performance question of evaluating the rej
ection of continuous-time white noise, in the worst case over structured un
certainty in the system. A frequency domain convex condition for robust H-2
analysis is presented, with analogous properties as in the discrete-time c
ase. In particular, necessary and sufficient results are obtained introduci
ng a continuous-time version of the methodology of set descriptions of whit
e noise. In addition, a state-space test in terms of linear matrix inequali
ties is developed for the robust H-2 problem in the case of constant uncert
ainty scalings, which apply to nonlinear or time-varying uncertainty. Thus
the problem is rendered finite dimensional in the same situation in which r
obust H-infinity analysis is finite dimensional.