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The reachable sets concept applied to a class of min-max optimization problems

Terlikowski T.

Archives of Control Sciences

2003

Vol. 13, no. 1

47-58

A multi-criteria control problem over the infinite time horizon for periodical system is considered. our aim is solve problems of type using the known idea of reachable sets. The worst case approach applied concerns e.g. a system of water resources distribution. The min-max opimisation problem obtained occurs to fit naturally the scheme of reachable sets concept. applicability of this concept to that particular case is discussed and the algorithm is presented.