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Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems (Volume 201) (North-Holland Mathematics Studies, Volume 201) - Hardcover
Synopsis
For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date).
The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals.
The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research.
Key features:
· Applications to optimal diffusion processes.
· Applications to optimal heat propagation processes.
· Modelling of optimal processes governed by partial
differential equations.
· Complete bibliography.
· Includes the latest research on the subject.
· Does not assume anything from the reader except
basic functional analysis.
· Accessible to researchers and advanced graduate
students alike
· Applications to optimal diffusion processes.
· Applications to optimal heat propagation processes.
· Modelling of optimal processes governed by partial
differential equations.
· Complete bibliography.
· Includes the latest research on the subject.
· Does not assume anything from the reader except
basic functional analysis.
· Accessible to researchers and advanced graduate
students alike
"synopsis" may belong to another edition of this title.
Book Description
The book is on infinite dimensional linear control systems as models for control processes governed by partial differential equations.
Review
"The book is well written and is undoubtedly of strong interest to specialists in infinite-dimensional analysis, optimization, control theory, and partial differential equations. It is also accessible and very useful for beginners and graduate students specializing in these disciplines."
-MATHEMATICAL REVIEWS
"About this title" may belong to another edition of this title.
- PublisherNorth Holland
- Publication date2005
- ISBN 10 0444516328
- ISBN 13 9780444516329
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages332
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Infinite Dimensional Linear Control Systems : The Time Optimal and Norm Optimal Problems
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Elsevier Science & Technology Jul 2005, 2005
ISBN 10: 0444516328
ISBN 13: 9780444516329
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Buch. Condition: Neu. Neuware - For more than forty years, the equation y(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date). Seller Inventory # 9780444516329
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