Title : 
A convex conic underestimate of Laplacian spectra and its application to network synthesis
         
        
            Author : 
Jan Maximilian Montenbruck;Alexander Birk;Frank Allgöwer
         
        
            Author_Institution : 
Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany
         
        
        
            fDate : 
7/1/2015 12:00:00 AM
         
        
        
        
            Abstract : 
We derive sufficient conditions on the eigenvectors and eigenvalues of a matrix for letting it be the Laplacian of an undirected, weighted graph. The derived conditions are convex conic and apply to network synthesis problems. We present an algorithmic implementation of the proposed synthesis procedure.
         
        
            Keywords : 
"Laplace equations","Radio frequency","Network synthesis","Eigenvalues and eigenfunctions","Integrated circuits","Minimization","Europe"
         
        
        
            Conference_Titel : 
Control Conference (ECC), 2015 European
         
        
        
            DOI : 
10.1109/ECC.2015.7330603