{"_id":"TPRPHYjR7Mpgfq2yK","bibbaseid":"aminzare-sontag-remarksondiffusivelinksynchronizationusingnonhilbertlogarithmicnorms-2014","downloads":0,"creationDate":"2018-10-18T05:07:05.925Z","title":"Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms","author_short":["Aminzare, Z.","Sontag, E."],"year":2014,"bibtype":"inproceedings","biburl":"http://www.sontaglab.org/PUBDIR/Biblio/complete-bibliography.bib","bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["Z."],"propositions":[],"lastnames":["Aminzare"],"suffixes":[]},{"firstnames":["E.D."],"propositions":[],"lastnames":["Sontag"],"suffixes":[]}],"booktitle":"Proc. IEEE Conf. Decision and Control, Los Angeles, Dec. 2014","title":"Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms","year":"2014","optaddress":"","optcrossref":"","opteditor":"","optmonth":"","optnote":"","optnumber":"","optorganization":"","pages":"6086-6091","optpublisher":"","optseries":"","optvolume":"","keywords":"contractions, contractive systems, stability, reaction-diffusion PDE's, synchronization","abstract":"In this paper, we sketch recent results for synchronization in a network of identical ODE models which are diffusively interconnected. In particular, we provide estimates of convergence of the difference in states between components, in the cases of line, complete, and star graphs, and Cartesian products of such graphs.","bibtex":"@INPROCEEDINGS{14cdc_aminzare,\n AUTHOR = {Z. Aminzare and E.D. Sontag},\n BOOKTITLE = {Proc. IEEE Conf. Decision and Control, Los Angeles, Dec. 2014},\n TITLE = {Remarks on diffusive-link synchronization using \n non-Hilbert logarithmic norms},\n YEAR = {2014},\n OPTADDRESS = {},\n OPTCROSSREF = {},\n OPTEDITOR = {},\n OPTMONTH = {},\n OPTNOTE = {},\n OPTNUMBER = {},\n OPTORGANIZATION = {},\n PAGES = {6086-6091},\n OPTPUBLISHER = {},\n OPTSERIES = {},\n OPTVOLUME = {},\n KEYWORDS = {contractions, contractive systems, stability, \n reaction-diffusion PDE's, synchronization},\n ABSTRACT = {In this paper, we sketch recent results for \n synchronization in a network of identical ODE models which are \n diffusively interconnected. In particular, we provide estimates of \n convergence of the difference in states between components, in the \n cases of line, complete, and star graphs, and Cartesian products of \n such graphs.}\n}\n\n","author_short":["Aminzare, Z.","Sontag, E."],"key":"14cdc_aminzare","id":"14cdc_aminzare","bibbaseid":"aminzare-sontag-remarksondiffusivelinksynchronizationusingnonhilbertlogarithmicnorms-2014","role":"author","urls":{},"keyword":["contractions","contractive systems","stability","reaction-diffusion PDE's","synchronization"],"downloads":0,"html":""},"search_terms":["remarks","diffusive","link","synchronization","using","non","hilbert","logarithmic","norms","aminzare","sontag"],"keywords":["contractions","contractive systems","stability","reaction-diffusion pde's","synchronization"],"authorIDs":["5bc814f9db768e100000015a"],"dataSources":["DKqZbTmd7peqE4THw"]}