Robust maximum principle for minimax Mayer problem with uncertainty from a compact measured set

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 previously investigated by the authors (1999). The minimax control problem is considered where maximization is taken over a set of uncertainty and minimization over admissible controls. The proofs are based on the tent method. Specific features of the obtained results are discussed.