This book discusses theoretical approaches to the study of optimal control problems governed by non-linear evolutions - including semi-linear equations, variational inequalities and systems with phase transitions. It also provides algorithms for solving non-linear parabolic systems and multiphase Stefan-like systems.
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Editorial Reviews
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. . .a substantial book that will satisfy the appetite of mathematical control theorists.
---Mathematical Reviews
. . .accessible. . . . . .highly recommended. . ..a good blend of theoretical and numerical treatment of the subject.
---Applied Mechanics Reviews
. . .fills a gap in the literature on optimal control theory and its applications. . . .offer[s] an invaluable variety of additional results. . .and also provide[s] the reader with helpful information on the history and priority of the main results. . . .an elegant summing-up of many results that are spread out in the literature, most of them having been obtained by the authors. . ..an excellent monograph.
---Mathematical Abstracts
---Mathematical Reviews
. . .accessible. . . . . .highly recommended. . ..a good blend of theoretical and numerical treatment of the subject.
---Applied Mechanics Reviews
. . .fills a gap in the literature on optimal control theory and its applications. . . .offer[s] an invaluable variety of additional results. . .and also provide[s] the reader with helpful information on the history and priority of the main results. . . .an elegant summing-up of many results that are spread out in the literature, most of them having been obtained by the authors. . ..an excellent monograph.
---Mathematical Abstracts
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Inside This Book
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First Sentence:
We begin with several instances of nonlinear parabolic partial differential equations of various origin and motivation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
state constrained control problems, secondary cooling region, water flux distribution, distributed control problems, one optimal pair, adjoint state system, convex control problems, desired surface temperature, water flux values, optimal pair for the problem, cooling criteria, variational inequalites, unbending point, optimal pair for problem, unique optimal pair, parabolic variational inequality, penalization method, boundary control problems, maximal monotone, calculated temperature distribution, parabolic variational inequalities, optimality system, free boundary value problems, phase field model, plane temperature New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We begin with several instances of nonlinear parabolic partial differential equations of various origin and motivation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
state constrained control problems, secondary cooling region, water flux distribution, distributed control problems, one optimal pair, adjoint state system, convex control problems, desired surface temperature, water flux values, optimal pair for the problem, cooling criteria, variational inequalites, unbending point, optimal pair for problem, unique optimal pair, parabolic variational inequality, penalization method, boundary control problems, maximal monotone, calculated temperature distribution, parabolic variational inequalities, optimality system, free boundary value problems, phase field model, plane temperature New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
See all 35 books this book cites
- Analysis and Optimization of Systems (Lecture Notes in Control and Iinformation Sciences) by Alain Bensoussan in Back Matter (1), Back Matter (2), and Back Matter (3)
- Fundamentals of Pattern Recognition (Chapman & Hall/CRC Pure and Applied Mathematics) by Monique L. Pavel in Front Matter (1), and Front Matter (2)
- Introduction to Set Theory, Third Edition, Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) by Karel Hrbacek in Front Matter (1), and Front Matter (2)
- Set Theory by Thomas Jech in Front Matter (1), and Front Matter (2)
- Convex Analysis (Princeton Landmarks in Mathematics and Physics) by Ralph Tyrell Rockafellar in Back Matter
See all 35 books this book cites
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