{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:09:14Z","timestamp":1761487754337},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1989,9,1]],"date-time":"1989-09-01T00:00:00Z","timestamp":620611200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signal Systems"],"published-print":{"date-parts":[[1989,9]]},"DOI":"10.1007\/bf02551388","type":"journal-article","created":{"date-parts":[[2007,1,5]],"date-time":"2007-01-05T11:37:33Z","timestamp":1167997053000},"page":"287-302","source":"Crossref","is-referenced-by-count":27,"title":["On the quantitative characterization of approximate decentralized fixed modes using transmission zeros"],"prefix":"10.1007","volume":"2","author":[{"given":"A. F.","family":"Vaz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. J.","family":"Davison","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02551388_CR1","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1016\/0005-1098(81)90017-0","volume":"17","author":"B.D.O. Anderson","year":"1981","unstructured":"B.D.O. Anderson and D.J. Clements, Algebraic characterization of fixed modes in decentralized control,Automatica,17 (1981), 703\u2013712.","journal-title":"Automatica"},{"key":"BF02551388_CR2","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1109\/TAC.1986.1104240","volume":"31","author":"D.L. Boley","year":"1986","unstructured":"D.L. Boley and W.S. Lu, Measuring how far a controllable system is from an uncontrollable one,IEEE Trans. Automat. Control,31 (1986), 249\u2013251.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR3","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1109\/TAC.1976.1101138","volume":"21","author":"E.J. Davison","year":"1976","unstructured":"E.J. Davison, The robust decentralized control of a general servomechanism problem,IEEE Trans. Automat. Control,21 (1976), 14\u201324.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR4","doi-asserted-by":"crossref","first-page":"1048","DOI":"10.1109\/TAC.1978.1101896","volume":"23","author":"E.J. Davison","year":"1978","unstructured":"E.J. Davison, W. Gesing, and S.H. Wang, An algorithm for obtaining the minimal realization of a linear time-invariant system and determining if a system is stabilizable-detectable,IEEE Trans. Automat. Control,23 (1978), 1048\u20131054.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR5","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1016\/0005-1098(74)90085-5","volume":"10","author":"E.J. Davison","year":"1974","unstructured":"E.J. Davison and S.H. Wang, Properties and calculation of transmission zeros of linear multivariable systems,Automatica,10 (1974), 643\u2013658.","journal-title":"Automatica"},{"key":"BF02551388_CR6","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1109\/TAC.1985.1103793","volume":"30","author":"E.J. Davison","year":"1985","unstructured":"E.J. Davison and S.H. Wang, A characterization of decentralized fixed modes in terms of transmission zeros,IEEE Trans. Automat. Control,30 (1985), 81\u201382.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR7","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0167-6911(84)80035-3","volume":"4","author":"R. Eising","year":"1984","unstructured":"R. Eising, Between controllable and uncontrollable,Systems Control Lett. 4 (1984), 263\u2013264.","journal-title":"Systems Control Lett."},{"key":"BF02551388_CR8","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0024-3795(82)90230-0","volume":"47","author":"L. Elsner","year":"1982","unstructured":"L. Elsner, On the variation of the spectra of matrices,Linear Algebra Appl.,47 (1982), 127\u2013138.","journal-title":"Linear Algebra Appl."},{"key":"BF02551388_CR9","volume-title":"The Theory of Matrices","author":"F.R. Gantmacher","year":"1959","unstructured":"F.R. Gantmacher,The Theory of Matrices, Vol. 1, Chelsea, New York, 1959."},{"key":"BF02551388_CR10","volume-title":"Kronecker Products and Matrix Calculus: With Applications","author":"A. Graham","year":"1981","unstructured":"A. Graham,Kronecker Products and Matrix Calculus: With Applications, Wiley, New York, 1981."},{"key":"BF02551388_CR11","volume-title":"Matrix Computations","author":"G.H. Golub","year":"1983","unstructured":"G.H. Golub and C.F. Van Loan,Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983."},{"key":"BF02551388_CR12","doi-asserted-by":"crossref","unstructured":"P. Misra and P. Patel, Characterization of decentralized fixed modes of multivariable systems,Proceedings of the 1986 American Control Conference, Seattle, WA, June 1986, pp. 427\u2013432.","DOI":"10.23919\/ACC.1986.4788979"},{"key":"BF02551388_CR13","volume-title":"Solution of Equations in Euclidean and Banach Spaces","author":"A.M. Ostrowski","year":"1973","unstructured":"A.M. Ostrowski,Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York, 1973."},{"key":"BF02551388_CR14","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1109\/TAC.1981.1102563","volume":"26","author":"C.C. Paige","year":"1981","unstructured":"C.C. Paige, Properties of numerical algorithms related to computing controllability,IEEE Trans. Automat. Control,26 (1981), 130\u2013138.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR15","doi-asserted-by":"crossref","unstructured":"A.F. Vaz and E.J. Davison, A measure for decentralized assignability of eigenvalues,Proceedings of the 1987 American Control Conference, Minneapolis, MN, June 1987, pp. 1688\u20131694;Systems Control Lett.,10 (1988), 191\u2013199.","DOI":"10.1016\/0167-6911(88)90052-7"},{"key":"BF02551388_CR16","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/TAC.1973.1100362","volume":"18","author":"S.H. Wang","year":"1973","unstructured":"S.H. Wang and E.J. Davison On the stabilization of decentralized control systems,IEEE Trans. Automat. Control,18 (1973), 473\u2013478.","journal-title":"IEEE Trans. Automat. Control"},{"key":"BF02551388_CR17","doi-asserted-by":"crossref","first-page":"866","DOI":"10.1109\/TAC.1984.1103392","volume":"29","author":"G.S. West-Vukovich","year":"1984","unstructured":"G.S. West-Vukovich, E.J. Davison, and P.C. Hughes, The decentralized control of large flexible space structures,IEEE Trans. Automat. Control,29 (1984), 866\u2013879.","journal-title":"IEEE Trans. Automat. Control"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02551388.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02551388\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02551388","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T21:50:04Z","timestamp":1558302604000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02551388"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,9]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1989,9]]}},"alternative-id":["BF02551388"],"URL":"https:\/\/doi.org\/10.1007\/bf02551388","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,9]]}}}