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Problem of conflict control with hereditary information

✍ Scribed by N.N. Krasovskii; N.Yu. Lukoyanov

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
813 KB
Volume
60
Category
Article
ISSN
0021-8928

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✦ Synopsis

For a dynamical system subject to uncontrollable interference the problem [1-8] of the control that will guarantee an optimum performance index is considered, where the latter is given as a functional of the realized motion. The investigation concerns the case in which information about the history of the motion must be used. A functional-theoretic treatment is presented, reducing the initial problem to the construction of the upper convex hulls of certain auxiliary functions in multidimensional spaces. On the other hand, a method for reducing the problem to constructions in a space of much lower dimension is developed. The method is demonstrated on problems with typical performance indices.

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