EnglishCancella i cookie per ripristinare le impostazioni di lingua associate al browser in uso
Titolo/Abstract/Parole chiave

KINETIC APPROXIMATION, STABILITY AND CONTROL OF COLLETIVE BEHAVIOR IN SELF-ORGANIZED SYSTEMS

Albi, Giacomo (2014) KINETIC APPROXIMATION, STABILITY AND CONTROL OF COLLETIVE BEHAVIOR IN SELF-ORGANIZED SYSTEMS. Tesi di Dottorato , Università degli Studi di Ferrara.

[img]
Anteprima
File PDF
AlbiPHD.pdf

Download (18MB) | Anteprima

    Abstract

    The aim of this thesis mainly focus on the study of self-organized systems, from different level of descriptions. We develop efficient numerical methods based on Direct Simulation Monte Carlo techniques, to solve the kinetic approximation of these systems, with a considerable save in the computational cost. We study the stability and instability of flock ring and mill ring solutions of second order swarming models, determining the stable regions of parameters and obtaining a spectral equivalence between first order and second order model in the case of flock solutions. In the second part we embed classical swarming models with control dynamics. We first present a general framework for swarming model interacting with few individuals, seen as external point source forces, giving a microscopic, a mesoscopic and a macroscopic description. Later we focus on optimal control problems for self-organized systems and inspired by model predictive control strategy, we obtain a kinetic description of the initial optimal control problem. In the end we report an asymptotic preserving scheme or optimal control problems of boundary problems governed by the hyperbolic relaxed systems.

    Tipologia del documento:Tesi di Dottorato (Tesi di Dottorato)
    Data:3 Marzo 2014
    Relatore:Paresci, Lorenzo
    Coordinatore ciclo:Ruggiero, Valeria
    Istituzione:Università degli Studi di Ferrara
    Dottorato:XXVI Anno 2011 > MATEMATICA E INFORMATICA
    Struttura:Dipartimento > Matematica e Informatica
    Soggetti:Area 01 - Scienze matematiche e informatiche > MAT/08 Analisi numerica
    Parole chiave:kinetic equations, swarming, optimal control, simulations, numerical methods
    Depositato il:29 Giu 2015 16:20

    Staff:

    Accesso riservatoAccesso riservato