Multi-dimensional Control Problems
Robust Approach
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Beschreibung
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.
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.
Discusses variational control problems involving first- and second-order PDE and PDI constraints Presents novel approaches to handle the uncertainty in multi-objective optimization problems Focuses on benefits of the multi-dimensional problem over finite and infinite restrictions
Autor*in
Anurag Jayswal
Themen in »Multi-dimensional Control Problems«
Control Problem Multiobjective Optimization Problem Convexity Dynamical System First-order PDE Multi-dimensional Problem Modified Objective Function Method Penalty Function Method Robust Saddle-point Semi-infinite Problem Uncertain Data Weak Robust Efficient Solution
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“The book contains eight chapters, each of them ending with a list of references. … the authors present a complete analysis of multi-dimensional and multi-objective variational control problems, also in the case of data uncertainty. The different definitions and results are illustrated with examples.” (Alain Brillard, zbMATH 1514.49001, 2023)
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