Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

Name: Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
Brand: Springer, Basel
SKU: 9780817640842
Price: 41797 HUF
Availability: InStock

Szerző: Piermarco Cannarsa, Carlo Sinestrari

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer, Basel

Elérhetőség: Beszállítói készleten

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A comprehensive and systematic exposition of the properties of semiconcave functions and their vario...

Információk a könyvről

Szerző

Piermarco Cannarsa, Carlo Sinestrari

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2004

oldal

304

EAN

9780817640842

ISBN

0817640843

Enbook ID

01399237

Kiadó

Springer, Basel

Súly

596

Méretek

155 x 235 x 19

Teljes leírás

A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field§A central role in the present work is reserved for the study of singularities§Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systemsSemiconcavity 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.

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Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

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