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Zambelli, Martina (2011) Consensus problem in nonlinear spaces. [Laurea triennale]

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Abstract

The thesis studies the problem of consensus, considering a set of N agents locally exchanging information about their state in order to asymptotically reach a common value of agreement: a global consensus. Chapter 2 is devoted to recalling some mathematical preliminaries, such as concepts of stability, Lyapunov theory, graph theory; this chapter also gives some (intuitive) notions of critical concepts concerning nonlinear spaces (e.g. the concept of manifold, geodesic and geodesic distance, Lie group). Chapter 3 deals with the goal of the thesis: the consensus; firstly we introduce the problem in linear space and then in nonlinear spaces, focusing our attention on the circle. A natural adaptation of linear consensus on the circle is, in fact, the celebrated Kuramoto model. In Chapter 4 we give some critical examples of application of consensus both in biological (e.g. flashing fireflies) and engineering problems (e.g. AOSN, vehicle formations)

Item Type:Laurea triennale
Corsi di Laurea Triennale:Scuola di Ingegneria > Ingegneria dell'informazione
Uncontrolled Keywords:consensus, linear, non-linear, stability, Kuramoto
Subjects:Area 09 - Ingegneria industriale e dell'informazione > ING-INF/04 Automatica
Codice ID:33092
Relatore:Pavon, Michele
Data della tesi:23 September 2011
Biblioteca:Polo di Ingegneria > Biblioteca di Ingegneria dell'Informazione e Ingegneria Elettrica "Giovanni Someda"
Tipo di fruizione per il documento:on-line per i full-text

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