Correct adaptive mechanisms

An active system is taken up which includes a center and a far-sighted active element with a controllable stochastic model of constraints. The notion is introduced of correctness of adaptive functioning mechanisms, AFM, under uncertainty. The Problem is stated of optimal synthesis of a correct AFM. A characteristic function of AFM is derived which provides the necessary and sufficient conditions of correctness. The incentive procedure is synthesized in an optimal way in a correct AFM. The problems of above-board and challenge scheduling in an AFM are formulated and solved. The findings are illustrated for assuredly correct AFMs.