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The Resource Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource)
Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource)
Resource Information
The item Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book is a selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions. The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, clearly written and mathematically precise. The exercises and open problems...will stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area." — Mathematical Reviews "With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercises...Finally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given." — ZAA "The minimal mathematical background...the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and uptodate bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics." — Zentralblatt MATH "The book is based on some lecture notes taught by the authors at several universities...and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers)...In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject." — Acta Applicandae Mathematicae
 Language

 eng
 eng
 Edition
 1st ed. 1997.
 Extent
 1 online resource (XVII, 574 p. 16 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Outline of the main ideas on a model problem
 Continuous viscosity solutions of HamiltonJacobi equations
 Optimal control problems with continuous value functions: unrestricted state space
 Optimal control problems with continuous value functions: restricted state space
 Discontinuous viscosity solutions and applications
 Approximation and perturbation problems
 Asymptotic problems
 Differential Games
 Isbn
 9780817647551
 Label
 Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations
 Title
 Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations
 Statement of responsibility
 by Martino Bardi, Italo CapuzzoDolcetta
 Language

 eng
 eng
 Summary
 This book is a selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions. The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, clearly written and mathematically precise. The exercises and open problems...will stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area." — Mathematical Reviews "With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercises...Finally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given." — ZAA "The minimal mathematical background...the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and uptodate bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics." — Zentralblatt MATH "The book is based on some lecture notes taught by the authors at several universities...and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers)...In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject." — Acta Applicandae Mathematicae
 http://library.link/vocab/creatorName
 Bardi, Martino
 Dewey number
 519
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 s5IhDpH2bak
 t95NGSOOAZk
 Image bit depth
 0
 Language note
 English
 LC call number

 Q295
 QA402.3402.37
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 CapuzzoDolcetta, Italo.
 Series statement
 Modern Birkhäuser Classics,
 http://library.link/vocab/subjectName

 Systems theory
 Mathematical optimization
 Differential equations, partial
 Systems Theory, Control
 Optimization
 Partial Differential Equations
 Label
 Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Outline of the main ideas on a model problem  Continuous viscosity solutions of HamiltonJacobi equations  Optimal control problems with continuous value functions: unrestricted state space  Optimal control problems with continuous value functions: restricted state space  Discontinuous viscosity solutions and applications  Approximation and perturbation problems  Asymptotic problems  Differential Games
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (XVII, 574 p. 16 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780817647551
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780817647551
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)1000000000777928
 (SSID)ssj0000325405
 (PQKBManifestationID)11243690
 (PQKBTitleCode)TC0000325405
 (PQKBWorkID)10320948
 (PQKB)10693686
 (DEHe213)9780817647551
 (MiAaPQ)EBC3072302
 (EXLCZ)991000000000777928
 Label
 Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Outline of the main ideas on a model problem  Continuous viscosity solutions of HamiltonJacobi equations  Optimal control problems with continuous value functions: unrestricted state space  Optimal control problems with continuous value functions: restricted state space  Discontinuous viscosity solutions and applications  Approximation and perturbation problems  Asymptotic problems  Differential Games
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (XVII, 574 p. 16 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780817647551
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780817647551
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)1000000000777928
 (SSID)ssj0000325405
 (PQKBManifestationID)11243690
 (PQKBTitleCode)TC0000325405
 (PQKBWorkID)10320948
 (PQKB)10693686
 (DEHe213)9780817647551
 (MiAaPQ)EBC3072302
 (EXLCZ)991000000000777928
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/OptimalControlandViscositySolutionsof/mKjpwCJ0phk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/OptimalControlandViscositySolutionsof/mKjpwCJ0phk/">Optimal Control and Viscosity Solutions of HamiltonJacobiBellman Equations, by Martino Bardi, Italo CapuzzoDolcetta, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>