Abstract
The paper is concerned with applying the principle of the best guaranteed result to control with uncertainties. In these problems, the disturbances affect the set of feasible controls, which is characteristic of economic problems, as well as the performance criterion. The effectiveness of three control techniques is compared: (i) programmed control, (ii) programmed control with additional information, (iii) control with complete information. The comparison is made in terms of a maximal guaranteed estimate of the performance criterion, of actual values of the criterion for all possible disturbances, and of the possibility of satisfying conditions of control feasibility. An antagonistic generalized game is formulated which is related to the control problem; a saddle point is defined. It is found that a saddle point exists in dynamic input-output models with independent disturbances.
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