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Optimal Control Of Coupled Systems Of Partial Differential Equations
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Book Synopsis Optimal Control of Coupled Systems of Partial Differential Equations by : Karl Kunisch
Download or read book Optimal Control of Coupled Systems of Partial Differential Equations written by Karl Kunisch and published by Springer Science & Business Media. This book was released on 2009-12-03 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, model-reduction techniques, and fluid-structure interactions.
Book Synopsis Control of Coupled Partial Differential Equations by : Karl Kunisch
Download or read book Control of Coupled Partial Differential Equations written by Karl Kunisch and published by Birkhäuser. This book was released on 2009-09-03 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Partial Differential Equations by : Andrea Manzoni
Download or read book Optimal Control of Partial Differential Equations written by Andrea Manzoni and published by Springer Nature. This book was released on 2022-01-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.
Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch
Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Society. This book was released on 2024-03-21 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.
Book Synopsis Optimal Control of Systems Governed by Partial Differential Equations by : Jacques-Louis Lions
Download or read book Optimal Control of Systems Governed by Partial Differential Equations written by Jacques-Louis Lions and published by Springer. This book was released on 1971 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constrained Optimization and Optimal Control for Partial Differential Equations by : Günter Leugering
Download or read book Constrained Optimization and Optimal Control for Partial Differential Equations written by Günter Leugering and published by Springer Science & Business Media. This book was released on 2012-01-03 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.
Book Synopsis Optimal Control Problems for Partial Differential Equations on Reticulated Domains by : Peter I. Kogut
Download or read book Optimal Control Problems for Partial Differential Equations on Reticulated Domains written by Peter I. Kogut and published by Springer Science & Business Media. This book was released on 2011-09-09 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.
Book Synopsis Optimal Control of Partial Differential Equations Involving Pointwise State Constraints: Regularization and Applications by : Irwin Yousept
Download or read book Optimal Control of Partial Differential Equations Involving Pointwise State Constraints: Regularization and Applications written by Irwin Yousept and published by Cuvillier Verlag. This book was released on 2008 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilization, Optimal and Robust Control by : Aziz Belmiloudi
Download or read book Stabilization, Optimal and Robust Control written by Aziz Belmiloudi and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.
Book Synopsis Optimal Control of Partial Differential Equations by : Karl-Heinz Hoffmann
Download or read book Optimal Control of Partial Differential Equations written by Karl-Heinz Hoffmann and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Control of Coupled PDEs by : Irena Lasiecka
Download or read book Mathematical Control of Coupled PDEs written by Irena Lasiecka and published by SIAM. This book was released on 2002-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch
Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Society. This book was released on 2024-03-21 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.
Book Synopsis Nonlinear Systems of Partial Differential Equations by :
Download or read book Nonlinear Systems of Partial Differential Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Control of Coupled PDEs by : Irena Lasiecka
Download or read book Mathematical Control of Coupled PDEs written by Irena Lasiecka and published by SIAM. This book was released on 2002-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.
Book Synopsis Optimal Control of Partial Differential Equations ; 1 by :
Download or read book Optimal Control of Partial Differential Equations ; 1 written by and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Control written by Zoran Gajic and published by CRC Press. This book was released on 2018-10-03 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as stochastic formulations. This book presents numerous applications to real world systems from various industries, including aerospace, and discusses the design of subsystem-level optimal filters. Organized into independent chapters for easy access to the material, this text also contains several case studies, examples, exercises, computer assignments, and formulations of research problems to help instructors and students.
Book Synopsis Domain in Decomposition Methods in Optimal Control of Partial Differential Equations by : John E. Lagnese
Download or read book Domain in Decomposition Methods in Optimal Control of Partial Differential Equations written by John E. Lagnese and published by Springer Science & Business Media. This book was released on 2004-09-27 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
