{"_id":"e7DoTyv6fnC4H6q3X","bibbaseid":"sontag-sussmann-remarksoncontinuousfeedback-1980","downloads":0,"creationDate":"2018-10-18T05:07:06.737Z","title":"Remarks on continuous feedback","author_short":["Sontag, E.","Sussmann, H."],"year":1980,"bibtype":"inproceedings","biburl":"http://www.sontaglab.org/PUBDIR/Biblio/complete-bibliography.bib","bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["E.D."],"propositions":[],"lastnames":["Sontag"],"suffixes":[]},{"firstnames":["H.J."],"propositions":[],"lastnames":["Sussmann"],"suffixes":[]}],"booktitle":"Proc. IEEE Conf. Decision and Control, Albuquerque, Dec.1980","title":"Remarks on continuous feedback","year":"1980","optaddress":"","optcrossref":"","opteditor":"","optmonth":"","optnote":"","optnumber":"","optorganization":"","pages":"916–921","optpublisher":"","optseries":"","optvolume":"","keywords":"feedback stabilization","pdf":"../../FTPDIR/80cdc.pdf","abstract":"We show that, in general, it is impossible to stabilize a controllable system by means of a continuous feedback, even if memory is allowed. No optimality considerations are involved. All state spaces are Euclidean spaces, so no obstructions arising from the state space topology are involved either. For one dimensional state and input, we prove that continuous stabilization with memory is always possible. (This is an old conference paper, never published in journal form but widely cited nonetheless. Warning: file is very large, since it was scanned.) ","bibtex":"@INPROCEEDINGS{CF,\n AUTHOR = {E.D. Sontag and H.J. Sussmann},\n BOOKTITLE = {Proc. IEEE Conf. Decision and Control, Albuquerque, Dec.1980},\n TITLE = {Remarks on continuous feedback},\n YEAR = {1980},\n OPTADDRESS = {},\n OPTCROSSREF = {},\n OPTEDITOR = {},\n OPTMONTH = {},\n OPTNOTE = {},\n OPTNUMBER = {},\n OPTORGANIZATION = {},\n PAGES = {916--921},\n OPTPUBLISHER = {},\n OPTSERIES = {},\n OPTVOLUME = {},\n KEYWORDS = {feedback stabilization},\n PDF = {../../FTPDIR/80cdc.pdf},\n ABSTRACT = { We show that, in general, it is impossible to stabilize \n a controllable system by means of a continuous feedback, even if \n memory is allowed. No optimality considerations are involved. All \n state spaces are Euclidean spaces, so no obstructions arising from \n the state space topology are involved either. For one dimensional \n state and input, we prove that continuous stabilization with memory \n is always possible. (This is an old conference paper, never published \n in journal form but widely cited nonetheless. Warning: file is very \n large, since it was scanned.) }\n}\n\n","author_short":["Sontag, E.","Sussmann, H."],"key":"CF","id":"CF","bibbaseid":"sontag-sussmann-remarksoncontinuousfeedback-1980","role":"author","urls":{},"keyword":["feedback stabilization"],"downloads":0,"html":""},"search_terms":["remarks","continuous","feedback","sontag","sussmann"],"keywords":["feedback stabilization"],"authorIDs":["5bc814f9db768e100000015a"],"dataSources":["DKqZbTmd7peqE4THw"]}