Optimal control and minimax synthesis of constrained parabolic systems under uncertain perturbations

摘要: This paper concerns a minimax control design problem for class of parabolic PDE systems with nonregular boundary conditions and uncertain distributed perturbations under pointwise state constraints. We deal controllers acting through Dirichlet that are the most challenging dynamics. The original motivation this comes from an environmental groundwater by B.S. Mordukhovich (1986), which has important applications to agriculture, ecology, other practical areas. goal is neutralize adverse effect disturbances (in particular, weather conditions) on dynamics level. In practice we usually do not have information about magnitude disturbance neither know its probability distribution. only thing range possible values. Thus above belongs feedback problems level as parameter. Here study more general multidimensional covers fairly broad applications.