rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Semiconcave functions, Hamilton-Jacobi equations, and optimal control
  name:
    name part: Cannarsa, Piermarco
    name part: 1957-
    role:
      role term: creator
  name:
    name part: Sinestrari, Carlo
    name part: 1970-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2004
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xii, 304 pages)
  abstract: 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.
  table of contents: Preface -- A Model Problem -- Semiconcave Functions -- Generalized Gradients and Semiconcavity -- Singularities of Semiconcave Functions -- Hamilton-Jacobi Equations -- Calculus of Variations -- Optimal Control Problems -- Control Problems with Exit Time -- References -- Index.
  note: Piermarco Cannarsa, Carlo Sinestrari.
  note: Electronic resource.
  note: Includes bibliographical references (pages [295]-304) and index.
  subject:
    topic: Concave functions
  subject:
    topic: Hamilton-Jacobi equations
  subject:
    topic: Control theory
  subject:
    topic: Mathematical optimization
  subject:
    topic: Fonctions concaves
  subject:
    topic: Hamilton-Jacobi, Équations de
  subject:
    topic: Commande, Théorie de la
  subject:
    topic: Optimisation mathématique
  subject:
    topic: Concave functions
  subject:
    topic: Control theory
  subject:
    topic: Hamilton-Jacobi equations
  subject:
    topic: Mathematical optimization
  subject:
    topic: Fonctions concaves
  subject:
    topic: Hamilton-Jacobi, Équations de
  subject:
    topic: Optimisation mathématique
  subject:
    topic: Konkave Funktion
    topic: Hamilton-Jacobi-Differentialgleichung
    topic: Kontrolltheorie
    topic: Optimierung
  subject:
    topic: Hamilton-Jacobi-Differentialgleichung
    topic: Konkave Funktion
    topic: Kontrolltheorie
    topic: Optimierung
  subject:
    topic: Kontrolltheorie
    topic: Hamilton-Jacobi-Differentialgleichung
    topic: Konkave Funktion
    topic: Optimierung
  subject:
    topic: Optimierung
    topic: Kontrolltheorie
    topic: Hamilton-Jacobi-Differentialgleichung
    topic: Konkave Funktion
  classification: QA353.C64 C36 2004
  classification: 515/.355
  related item:
    title info:
      title: Semiconcave functions, Hamilton-Jacobi equations, and optimal control
    name:
      name part: Cannarsa, Piermarco, 1957-
    origin info:
      publisher: Boston : Birkhäuser, ©2004
    identifier: (DLC) 2004043695
    identifier: (OCoLC)54371818
  related item:
    title info:
      title: Progress in nonlinear differential equations and their applications ; v. 58
  identifier: 9780817644130 (electronic bk.)
  identifier: 081764413X (electronic bk.)
  identifier: 0817640843
  identifier: 9780817640842
  identifier: 0817643362
  identifier: 9780817643362
  identifier: 978-0-8176-4336-2 Springer
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 100813
    record change date: 20190329192930.0
    record identifier: in00002648159
    language of cataloging:
      language term: eng