Deterministic and Stochastic Optimal Control and Inverse Problems

This edited volume discusses inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations and the optimal control problem for stochastic differential equations. It includes contributions from renowned researchers and survey articles to provide a comprehensive overview of the field.

Format: Paperback / softback
Length: 380 pages
Publication date: 29 January 2024
Publisher: Taylor & Francis Ltd

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations are a dynamic and rapidly evolving field of research that has found widespread applications across various domains. A closely related problem of utmost significance is the optimal control problem for stochastic differential equations. This comprehensive edited volume features invited contributions from esteemed scholars in the realm of control and inverse problems. The contributions encompass a wide range of topics, including optimal control and inverse problems, with a focus on diverse aspects of the theory, numerical methods, and practical applications. In addition to providing a unified presentation of the latest and most relevant advancements, this volume also includes survey articles to ensure self-contained coverage of the material. To uphold the highest standards of scientific excellence, all manuscripts have undergone rigorous peer review.

The study of inverse problems in deterministic and stochastic partial differential equations (PDEs) is a vibrant and rapidly advancing area of research that has yielded numerous practical applications. These problems involve the identification of parameters and initial/boundary conditions from given data or observations, which is crucial for understanding and modeling complex systems. In this edited volume, esteemed researchers from around the world have contributed their expertise to explore various aspects of control and inverse problems in PDEs.

One of the key topics addressed is optimal control, which involves designing control strategies to achieve desired performance objectives for systems governed by PDEs. The contributions in this section cover a wide range of topics, including the analysis of optimal control algorithms, the design of feedback controls, and the application of optimal control to systems with uncertainties and time-varying parameters.

Another important area of research is inverse problems in PDEs involving initial/boundary conditions. These problems arise when the data or observations available for identifying the parameters or conditions are limited or incomplete. The contributions in this section discuss various methods and techniques for solving inverse problems, including regularization, optimization, and machine learning approaches.

The volume also includes survey articles that provide an overview of the current state-of-the-art in control and inverse problems in PDEs. These articles cover different aspects of the field, including theoretical developments, numerical methods, and applications in various scientific and engineering disciplines.

To ensure the highest quality of the contributions, all manuscripts in this volume have undergone rigorous peer review. The editors have carefully selected contributions that represent the latest advancements and cutting-edge research in the field.

This edited volume is a valuable resource for researchers, practitioners, and students interested in control and inverse problems in PDEs. It provides a comprehensive overview of the current state-of-the-art and highlights the potential for future research in this exciting and rapidly evolving area.

Weight: 453g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367506315