Deterministic and Stochastic Optimal Control and Inverse Problems

Baasansuren Jadamba, Akhtar A. Khan, Stanis?aw Migórski, Miguel Sama

• Publisher: CRC Press
• Year: 2021
• ISBN:
  9781000511758
• Edition: 1
• Topic: Computer Science
• Subtopic: Operating Systems
• Index: Computer Science

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations.

This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed.

Table of contents

• Cover Page
• Title Page
• Copyright Page
• Dedication
• Preface
• Table of Contents
• Contributors
• 1. All-At-Once Formulation Meets the Bayesian Approach: A Study of Two Prototypical Linear Inverse Problems
• 2. On Iterated Tikhonov Kaczmarz Type Methods for Solving Systems of Linear Ill-posed Operator Equations
• 3. On Numerical Approximation of Optimal Control for Stokes Hemivariational Inequalities
• 4. Nonlinear Tikhonov Regularization in Hilbert Scales with Oversmoothing Penalty: Inspecting Balancing Principles
• 5. An Optimization Approach to Parameter Identification in Variational Inequalities of Second Kind-II
• 6. Generalized Variational-hemivariational Inequalities in Fuzzy Environment
• 7. Boundary Stabilization of the Linear MGT Equation with Feedback Neumann Control
• 8. Sweeping Process Arguments in the Analysis and Control of a Contact Problem
• 9. Anderson Acceleration for Degenerate and Nondegenerate Problems
• 10. Approximate Coincidence Points for Single-valued Maps and Aubin Continuous Set-valued Maps
• 11. Stochastic Variational Approach for Random Cournot-Nash Principle
• 12. Augmented Lagrangian Methods For Optimal Control Problems Governed by Mixed Variational-Hemivariational Inequalities Involving a Set-valued Mapping
• 13. Data Driven Reconstruction Using Frames and Riesz Bases
• 14. Antenna Problem Induced Regularization and Sampling Strategies
• 15. An Equation Error Approach for Identifying a Random Parameter in a Stochastic Partial Differential Equation
• Index