Robust Maximum Principle for minimax mayer problem with uncertainty from a compact measured set

This paper presents a new version of the Maximum Principle dealing with the construction of minimax control strategies for a class of uncertain systems described by ordinary differential equations with unknown parameters from a given measured space. The case when the set of unknown parameters is finite was investigated by the authors in [9]. The minimax control problem is considered where maximization being taken over a set of uncertainity and minimization over admissible controls. The proofs are based on the tent method (see Chapter I in monograph [8]). Specific features of the obtained results are discussed.