PROBABILISTIC AND GUARANTEEING CONTROL .1. GUARANTEEING PLANS

This paper and the next two parts are aimed at establishing the limiti ng identity nature of probabilistic and guaranteeing, or game, approac hes to the problem of control with perturbations. Certain qualitative considerations are outlined for comparing such approaches. A basic sch eme is formalized for a two-stage control with planning by incomplete a priori information on perturbations and subsequent operational corre ction based on improved current information. The specifics of the guar anteeing planning approach have been investigated. An illustrative exa mple, which has been solved analytically, is given, to corroborate the usefulness of planning with due regard for operational control.