Abstract:Principal submatrices of the controllability Gramian and their inverses are examined, for a networkconsensus model with inputs at a subset of network nodes. Specifically, several properties of the Gramian submatrices and their inverses -including dominant eigenvalues and eigenvectors, diagonal entries, and sign patterns -are characterized by exploiting the special doubly-nonnegative structure of the matrices.In addition, majorizations for these properties are obtained in terms of cutsets in the network's graph… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.