Multi-dimensional Control Problems

Robust Approach

Anurag Jayswal, Preeti, Savin Treanţӑ

• Publisher: Springer
• Year: 2022
• Print ISBN:
  9789811965609
• eBook ISBN:
  9789811965616
• Topic: Sciences biologiques
• Subtopic: Mathématiques appliquées

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. 

Table of contents

• Cover
• Front Matter
• 1. Introduction
• 2. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective Functional
• 3. Multi-dimensional Variational Control Problem with Data Uncertainty in Constraint Functionals
• 4. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective and Constraint Functionals
• 5. The Modified Approach for Multi-dimensional Optimization Problem with Data Uncertainty
• 6. Semi-infinite Multi-dimensional Variational Control Problem with Data Uncertainty
• 7. Robust Duality for Multi-dimensional Variational Control Problem with Data Uncertainty
• 8. On a Class of Second-Order PDE &PDI Constrained Robust Optimization Problems