PROBLEM OF CONFLICT CONTROL WITH HEREDITARY INFORMATION

For a dynamical system subject to uncontrollable interference the prob lem [1-8] of the control that will guarantee an optimum performance in dex is considered, where the latter is given as a functional of the re alized motion. The investigation concerns the case in which informatio n about the history of the motion must be used. A functional-theoretic treatment is presented, reducing the initial problem to the construct ion of the upper convex hulls of certain auxiliary functions [7, 9-12] in multidimensional spaces. On the other hand, a method for reducing the problem to constructions in a space of much lower dimension is dev eloped. The method is demonstrated on problems with typical performanc e indices. (C) 1997 Elsevier Science Ltd.