An exact analytical solution is derived for the variance of the timing jitter of a dispersion-managed soliton in the presence of synchronous amplitude modulators and filters. We show that, for a given position of these control elements, a total suppression of the timing jitter is possible, which will permit unlimited error free transmission distances of DM solitons. However, if only the modulator or the filter is used, the asymptotic behavior of the timing jitter shows a linear dependence with distance, which is in contrast with the cubic dependence in the uncontrolled case.