Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/62444
Title: | El principio del máximo de Pontryagin |
Author: | Muñoz Ruz, Rubén |
Director/Tutor: | Corcuera Valverde, José Manuel |
Keywords: | Càlcul de variacions Treballs de fi de grau Teoria de control Processos estocàstics Equacions diferencials ordinàries Sistemes dinàmics diferenciables Calculus of variations Bachelor's theses Control theory Stochastic processes Ordinary differential equations Differentiable dynamical systems |
Issue Date: | 24-Jun-2014 |
Abstract: | The aim of this end of degree work is to analyze a few problems studied by the optimal control theory using the Pontryagin’s maximum principle. It is divided into three distinct parts: in the first one we introduce the calculus of variations theory, in the second one we present the optimal control theory and the maximum principle and we show that this theory can be treated as an extension of calculus of variations; and, finally, in the last part we expose how the optimal control theory can be extended considering some randomness, that is to say, for cases involving stochastic processes. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2014, Director: José Manuel Corcuera Valverde |
URI: | http://hdl.handle.net/2445/62444 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
memoria.pdf | Memòria | 278.93 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License