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The Resource Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Piermarco Cannarsa, Carlo Sinestrari, (electronic book)

Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Piermarco Cannarsa, Carlo Sinestrari, (electronic book)

Label
Semiconcave functions, Hamilton-Jacobi equations, and optimal control
Title
Semiconcave functions, Hamilton-Jacobi equations, and optimal control
Statement of responsibility
Piermarco Cannarsa, Carlo Sinestrari
Creator
Contributor
Subject
Language
eng
Summary
Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, and of the role they play in optimal control and HamiltonJacobi equations. The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is devoted to applications concerning the Bolza problem in the calculus of variations and optimal exit time problems for nonlinear control systems. The exposition is essentially self-contained since the book includes all prerequisites from convex analysis, nonsmooth analysis, and viscosity solutions. A central role in the present work is reserved for the study of singularities. Singularities are first investigated for general semiconcave functions, then sharply estimated for solutions of HamiltonJacobi equations, and finally analyzed in connection with optimal trajectories of control systems. Researchers in optimal control, the calculus of variations, and partial differential equations will find this book useful as a state-of-the-art reference for semiconcave functions. Graduate students will profit from this text as it provides a handyyet rigorousintroduction to modern dynamic programming for nonlinear control systems
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1957-
http://library.link/vocab/creatorName
Cannarsa, Piermarco
Dewey number
515/.355
Index
index present
LC call number
QA353.C64
LC item number
C36 2004
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1970-
http://library.link/vocab/relatedWorkOrContributorName
Sinestrari, Carlo
Series statement
Progress in nonlinear differential equations and their applications
Series volume
58.
http://library.link/vocab/subjectName
  • Concave functions
  • Hamilton-Jacobi equations
  • Control theory
  • Mathematical optimization
  • Fonctions concaves
  • Hamilton-Jacobi, Équations de
  • Commande, Théorie de la
  • Optimisation mathématique
  • Fonctions concaves
  • Hamilton-Jacobi, Équations de
  • Optimisation mathématique
  • Konkave Funktion
  • Hamilton-Jacobi-Differentialgleichung
  • Kontrolltheorie
  • Optimierung
Label
Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Piermarco Cannarsa, Carlo Sinestrari, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [295]-304) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
SPR655853884
Dimensions
unknown
Extent
1 online resource (xii, 304 p.)
Form of item
online
Isbn
9780817644130
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
Label
Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Piermarco Cannarsa, Carlo Sinestrari, (electronic book)
Publication
Bibliography note
Includes bibliographical references (p. [295]-304) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
SPR655853884
Dimensions
unknown
Extent
1 online resource (xii, 304 p.)
Form of item
online
Isbn
9780817644130
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote

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