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Cover: 9780817640842 | Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
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Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
Buch von Carlo Sinestrari (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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 volume details 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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 324
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Inhalt: xiv
304 S.
ISBN-13: 9780817640842
ISBN-10: 0817640843
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Sinestrari, Carlo
Cannarsa, Piermarco
Auflage: 2004
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Nonlinear Differential Equations and Their Applications
Maße: 241 x 160 x 23 mm
Von/Mit: Carlo Sinestrari (u. a.)
Erscheinungsdatum: 22.03.2004
Gewicht: 0,653 kg
preigu-id: 106311097
Zusammenfassung

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 volume details 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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 324
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Inhalt: xiv
304 S.
ISBN-13: 9780817640842
ISBN-10: 0817640843
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Sinestrari, Carlo
Cannarsa, Piermarco
Auflage: 2004
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Nonlinear Differential Equations and Their Applications
Maße: 241 x 160 x 23 mm
Von/Mit: Carlo Sinestrari (u. a.)
Erscheinungsdatum: 22.03.2004
Gewicht: 0,653 kg
preigu-id: 106311097
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