Abstract
Almost sure global convergence results are available for stochastic adaptive control. This note looks at the nontrivial technical details required to ensure corresponding convergence in p-th mean results. Both convergence results are strong but are not implied by the other and so together, almost sure and p-th mean convergence, are stronger than either. The other aim of this paper is to show that the combination of these two forms of convergence results makes the stability results more robust and potentially of more practical significance.
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