On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings. Khargonekar, P. & Sontag, E. *IEEE Trans. Automat. Control*, 27(3):627–638, 1982. abstract bibtex Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential. 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the thery of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix. The original formulas for coprime factorizations (which are valid, in particular, over the field of reals) were given in this paper.

@ARTICLE{MR680321,
AUTHOR = {P.P. Khargonekar and E.D. Sontag},
JOURNAL = {IEEE Trans. Automat. Control},
TITLE = {On the relation between stable matrix fraction
factorizations and regulable realizations of linear systems over
rings},
YEAR = {1982},
OPTMONTH = {},
OPTNOTE = {},
NUMBER = {3},
PAGES = {627--638},
VOLUME = {27},
KEYWORDS = {systems over rings},
PDF = {../../FTPDIR/pk.pdf},
ABSTRACT = { Various types of transfer matrix factorizations are of
interest when designing regulators for generalized types of linear
systems (delay differential. 2-D, and families of systems). This
paper studies the existence of stable and of stable proper
factorizations, in the context of the thery of systems over rings.
Factorability is related to stabilizability and detectability
properties of realizations of the transfer matrix. The original
formulas for coprime factorizations (which are valid, in particular,
over the field of reals) were given in this paper. }
}

Downloads: 0

{"_id":"hjL9Gfdhs3rcXZRdq","bibbaseid":"khargonekar-sontag-ontherelationbetweenstablematrixfractionfactorizationsandregulablerealizationsoflinearsystemsoverrings-1982","downloads":0,"creationDate":"2018-10-18T05:07:06.719Z","title":"On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings","author_short":["Khargonekar, P.","Sontag, E."],"year":1982,"bibtype":"article","biburl":"http://www.sontaglab.org/PUBDIR/Biblio/complete-bibliography.bib","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["P.P."],"propositions":[],"lastnames":["Khargonekar"],"suffixes":[]},{"firstnames":["E.D."],"propositions":[],"lastnames":["Sontag"],"suffixes":[]}],"journal":"IEEE Trans. Automat. Control","title":"On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings","year":"1982","optmonth":"","optnote":"","number":"3","pages":"627–638","volume":"27","keywords":"systems over rings","pdf":"../../FTPDIR/pk.pdf","abstract":"Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential. 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the thery of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix. The original formulas for coprime factorizations (which are valid, in particular, over the field of reals) were given in this paper. ","bibtex":"@ARTICLE{MR680321,\n AUTHOR = {P.P. Khargonekar and E.D. Sontag},\n JOURNAL = {IEEE Trans. Automat. Control},\n TITLE = {On the relation between stable matrix fraction \n factorizations and regulable realizations of linear systems over \n rings},\n YEAR = {1982},\n OPTMONTH = {},\n OPTNOTE = {},\n NUMBER = {3},\n PAGES = {627--638},\n VOLUME = {27},\n KEYWORDS = {systems over rings},\n PDF = {../../FTPDIR/pk.pdf},\n ABSTRACT = { Various types of transfer matrix factorizations are of \n interest when designing regulators for generalized types of linear \n systems (delay differential. 2-D, and families of systems). This \n paper studies the existence of stable and of stable proper \n factorizations, in the context of the thery of systems over rings. \n Factorability is related to stabilizability and detectability \n properties of realizations of the transfer matrix. The original \n formulas for coprime factorizations (which are valid, in particular, \n over the field of reals) were given in this paper. }\n}\n\n","author_short":["Khargonekar, P.","Sontag, E."],"key":"MR680321","id":"MR680321","bibbaseid":"khargonekar-sontag-ontherelationbetweenstablematrixfractionfactorizationsandregulablerealizationsoflinearsystemsoverrings-1982","role":"author","urls":{},"keyword":["systems over rings"],"downloads":0,"html":""},"search_terms":["relation","between","stable","matrix","fraction","factorizations","regulable","realizations","linear","systems","over","rings","khargonekar","sontag"],"keywords":["systems over rings"],"authorIDs":["5bc814f9db768e100000015a"],"dataSources":["DKqZbTmd7peqE4THw"]}