Multi-dimensional Control Problems: Robust Approach (Industrial and Applied Mathematics)

This book deals with several types of multi-dimensional control problems in the face of data uncertainty for vector cases--multi-dimensional multi-objective control problem with uncertain objective functionals, uncertain constraint functionals, and uncertain objective as well as constraint functionals, uncertain multi-dimensional multi-objective control problem with semi-infinite constraints, uncertain dual multi-dimensional multi-objective variational control problem, and second-order PDE&PDI constrained robust optimization problem. The book provides the solution approaches--an exact l1 penalty function approach, modified objective approach, robust approach--in the simplest way to solve the recent developing optimization problems in the sense of uncertainty.