The Resource Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control, by Piermarco Cannarsa, Carlo Sinestrari, (electronic resource)

Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control, by Piermarco Cannarsa, Carlo Sinestrari, (electronic resource)

Label
Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control
Title
Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control
Statement of responsibility
by Piermarco Cannarsa, Carlo Sinestrari
Creator
Contributor
Author
Subject
Language
  • eng
  • 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 Hamilton–Jacobi 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 Hamilton–Jacobi 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 handy—yet rigorous—introduction to modern dynamic programming for nonlinear control systems
Member of
Cataloging source
PQKB
http://library.link/vocab/creatorName
Cannarsa, Piermarco
Dewey number
515.353
Image bit depth
0
Language note
English
LC call number
QA370-380
Literary form
non fiction
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
  • Mathematics
  • Measure theory
  • Partial differential equations
  • Mathematical optimization
  • Mathematics
  • Partial Differential Equations
  • Measure and Integration
  • Optimization
Label
Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control, by Piermarco Cannarsa, Carlo Sinestrari, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Extent
1 online resource (XIV, 304 p.)
File format
multiple file formats
Form of item
online
Isbn
9780817644130
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b138356
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000716674
  • (SSID)ssj0000319998
  • (PQKBManifestationID)11247513
  • (PQKBTitleCode)TC0000319998
  • (PQKBWorkID)10343837
  • (PQKB)10672601
  • (DE-He213)978-0-8176-4413-0
  • (EXLCZ)991000000000716674
Label
Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control, by Piermarco Cannarsa, Carlo Sinestrari, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Extent
1 online resource (XIV, 304 p.)
File format
multiple file formats
Form of item
online
Isbn
9780817644130
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b138356
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000716674
  • (SSID)ssj0000319998
  • (PQKBManifestationID)11247513
  • (PQKBTitleCode)TC0000319998
  • (PQKBWorkID)10343837
  • (PQKB)10672601
  • (DE-He213)978-0-8176-4413-0
  • (EXLCZ)991000000000716674

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