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Optimal Control of Distributed Systems. Theory and Applications

A. V. Fursikov Moscow State University, Moscow, Russia
Available Formats:
Hardcover ISBN: 978-0-8218-1382-9
Product Code: MMONO/187
305 pp
List Price: $128.00 MAA Member Price:$115.20
AMS Member Price: $102.40 Electronic ISBN: 978-1-4704-4601-7 Product Code: MMONO/187.E 305 pp List Price:$127.00
MAA Member Price: $114.30 AMS Member Price:$101.60
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List Price: $192.00 MAA Member Price:$172.80
AMS Member Price: $153.60 Click above image for expanded view Optimal Control of Distributed Systems. Theory and Applications A. V. Fursikov Moscow State University, Moscow, Russia Available Formats:  Hardcover ISBN: 978-0-8218-1382-9 Product Code: MMONO/187 305 pp  List Price:$128.00 MAA Member Price: $115.20 AMS Member Price:$102.40
 Electronic ISBN: 978-1-4704-4601-7 Product Code: MMONO/187.E 305 pp
 List Price: $127.00 MAA Member Price:$114.30 AMS Member Price: $101.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$192.00
MAA Member Price: $172.80 AMS Member Price:$153.60
• Book Details

Translations of Mathematical Monographs
Volume: 1872000
MSC: Primary 93; Secondary 35; 76;

This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.

Graduate students and research mathematicians interested in analysis, specifically calculus of variations and optimal control and optimization; physicists; engineers.

• Chapters
• The existence of solutions to optimal control problems
• Optimality system for optimal control problems
• The solvability of boundary value problems for a dense set of data
• The problem of work minimization in accelerating still fluid to a prescribed velocity
• Optimal boundary control for nonstationary problems of fluid flow and nonhomogeneous boundary value problems for the Navier-Stokes equations
• The Cauchy problem for elliptic equations in a conditionally well-posed formulation
• The local exact controllability of the flow of incompressible viscous fluid

• Reviews

• This book offers simple and clear exposition of main results in this area … solutions of several previously unsolved problems are given.

Zentralblatt MATH
• The results provided in this book are interesting and focused on parabolic-like control problems with particular emphasis on Navier-Stokes equations. The proofs are complete and accessible to non-specialists … provides a very good source of information for researchers … can also be used as a graduate level textbook for students entering the field.

Mathematical Reviews
• Request Review Copy
• Get Permissions
Volume: 1872000
MSC: Primary 93; Secondary 35; 76;

This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.

Graduate students and research mathematicians interested in analysis, specifically calculus of variations and optimal control and optimization; physicists; engineers.

• Chapters
• The existence of solutions to optimal control problems
• Optimality system for optimal control problems
• The solvability of boundary value problems for a dense set of data
• The problem of work minimization in accelerating still fluid to a prescribed velocity
• Optimal boundary control for nonstationary problems of fluid flow and nonhomogeneous boundary value problems for the Navier-Stokes equations
• The Cauchy problem for elliptic equations in a conditionally well-posed formulation
• The local exact controllability of the flow of incompressible viscous fluid
• This book offers simple and clear exposition of main results in this area … solutions of several previously unsolved problems are given.

Zentralblatt MATH
• The results provided in this book are interesting and focused on parabolic-like control problems with particular emphasis on Navier-Stokes equations. The proofs are complete and accessible to non-specialists … provides a very good source of information for researchers … can also be used as a graduate level textbook for students entering the field.

Mathematical Reviews
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