Estimation of the dynamics of two-dimensional clusters

Authors:
Daniele Casagrande;M. Sassano;Alessandro Astolfi
Affiliations:
Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Università degli Studi di Udine, Udine, Italy;Department of Electrical and Electronic Engineering, Imperial College London, London, UK;Department of Electrical and Electronic Engineering, Imperial College London, London, UK and Dipartimento di Informatica, Sistemi e Produzione, Università degli Studi di Roma "Tor Vergata", R ...
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

A method to estimate the dynamics of clusters is presented. An existing static clustering method, which makes use of a Hamiltonian function, is exploited in the dynamic case, when the points to cluster do not remain in fixed positions but move with unknown dynamics. The time is discretised and the static algorithm is applied to each time-instant. While identifying each cluster, the algorithm also performs the computation of the moments of the cluster. By estimating the dynamics of the moments an approximate estimation of the dynamics of the cluster is obtained. An illustrative example shows the performance of the method.