Optimization of differential inclusions via finite differences

The author considers a Mayer-type optimization problem for dynamical systems governed by differential inclusions. Such models generalize both standard and nonstandard problems in optimal control for open-loop and closed-loop control systems. He provides a variational analysis of the problem under consideration based on its finite difference approximations. For describing adjoint arcs in necessary optimality conditions, the author´s concepts of generalized derivatives for multifunctions and nonsmooth mappings are used. These derivative constructions are robust with respect to perturbations and enjoy a rich calculus important for applications