Convergence in mean for ELS-based adaptive control

Almost sure global convergence results :ire available for’ stochastic wiapt]ve control, This note I(mks a[ the nontrivial [cchn ical details required to ensure corresponding convergence in p-th mean results. Both con~ergencc results are strong but tire not implied by the other and so together, alm{Mt sure and pth mean convergence. ure stronger than either. The other alrn of this paper is tn show that the combinatmn of these ~wo forms of convergence results makes the stability results more rc)bt]st and potentially of more practical significance.