Linear Control Problems of the Fuzzy Maps (Report‪)‬

1. Introduction The first study of differential equations with multivalued right-hand sides was performed by A. Marchaud [1] and S. C. Zaremba [2]. In early sixties, T. Wazewski [3,4], A. F. Filippov [5] obtained fundamental results on existence and properties of the differential equations with multivalued right-hand sides (differential inclusions). One of the most important results of these articles was an establishment of the relation between differential inclusions and optimal control problems, that promoted to develop the differential inclusion theory [6-9].