Abstract

In this paper, we investigate the controllability and observability properties of a family of linear dynamical systems, whose structure is induced by the Laplacian of a grid graph. This analysis is motivated by several applications in network control and estimation, quantum computation and discretization of partial differential equations. Specifically, we characterize the structure of the grid eigenvectors by means of suitable decompositions of the graph. For each eigenvalue, based on its multiplicity and on suitable symmetries of the corresponding eigenvectors, we provide necessary and sufficient conditions to characterize all and only the nodes from which the induced dynamical system is controllable (observable). We discuss the proposed criteria and show, through suitable examples, how such criteria reduce the complexity of the controllability (respectively, observability) analysis of the grid.

Autore Pugliese

• Notarstefano Giuseppe , Parlangeli Gianfranco

Tutti gli autori

• G. Notarstefano , G. Parlangeli

Titolo volume/Rivista

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Anno di pubblicazione

2013

ISSN

0018-9286

ISBN

Non Disponibile

Numero di citazioni Wos

49

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

51

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile