The main objective in this project is the generalization of first order optimality necessary conditions for optimal control problems with equality and inequality constraints, the celebrated Pontryagin Maximum Principle. The constraints to be considered are mixed, involving both the state and control variables. The maximum principle will be studied in the nonsmooth setting, where the Mordukhovich subdifferential will be used. The optimality conditions are obtained under interpretation of a new constraint qualification constant rank type that generalized the full rank condition.
News published in Agência FAPESP Newsletter about the scholarship: