Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

AngličtinaEbook
Cannarsa, Piermarco
Birkhauser Boston
EAN: 9780817644130
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Podrobné informácie

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.
EAN 9780817644130
ISBN 081764413X
Typ produktu Ebook
Vydavateľ Birkhauser Boston
Dátum vydania 31. decembra 2007
Jazyk English
Krajina United States
Autori Cannarsa, Piermarco; Sinestrari, Carlo
Séria Progress in Nonlinear Differential Equations and Their Applications