{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T17:22:05Z","timestamp":1773681725513,"version":"3.50.1"},"reference-count":16,"publisher":"Elsevier BV","issue":"4","license":[{"start":{"date-parts":[[2003,11,1]],"date-time":"2003-11-01T00:00:00Z","timestamp":1067644800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems & Control Letters"],"published-print":{"date-parts":[[2003,11]]},"DOI":"10.1016\/s0167-6911(03)00158-0","type":"journal-article","created":{"date-parts":[[2003,6,3]],"date-time":"2003-06-03T00:25:55Z","timestamp":1054599955000},"page":"251-262","source":"Crossref","is-referenced-by-count":29,"title":["Real Floquet factors of linear time-periodic systems"],"prefix":"10.1016","volume":"50","author":[{"given":"Pierre","family":"Montagnier","sequence":"first","affiliation":[]},{"given":"Christopher C.","family":"Paige","sequence":"additional","affiliation":[]},{"given":"Raymond J.","family":"Spiteri","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0167-6911(03)00158-0_BIB1","series-title":"Methods of Nonlinear Analysis","author":"Bellman","year":"1970"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB2","series-title":"Finite Dimensional Linear Systems","author":"Brockett","year":"1970"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB3","series-title":"Theory of Ordinary Differential Equations","author":"Coddington","year":"1955"},{"issue":"5","key":"10.1016\/S0167-6911(03)00158-0_BIB4","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.1090\/S0002-9939-1966-0202740-6","article-title":"On the existence and uniqueness of the real logarithm of a matrix","volume":"17","author":"Culver","year":"1966","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/S0167-6911(03)00158-0_BIB5","doi-asserted-by":"crossref","unstructured":"G. Floquet, Sur les \u00e9quations lin\u00e9aires \u00e0 coefficients p\u00e9riodiques, Ann. Sci. \u00c9cole Norm. Ser. 2 (Suppl. 12) (1883) 47\u201388.","DOI":"10.24033\/asens.220"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB6","unstructured":"J.K. Hale, Ordinary Differential Equations, Wiley, New York, 1969, Chapter III, pp. 117\u2013121."},{"key":"10.1016\/S0167-6911(03)00158-0_BIB7","series-title":"Applied and Computational Complex Analysis","author":"Henrici","year":"1974"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB8","series-title":"Topics in Matrix Analysis","author":"Horn","year":"1991"},{"issue":"5","key":"10.1016\/S0167-6911(03)00158-0_BIB9","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1080\/00207178008961091","article-title":"Linear closed-loop control in linear periodic systems with application to spin-stabilized bodies","volume":"31","author":"Kern","year":"1980","journal-title":"Internat. J. Control"},{"issue":"5","key":"10.1016\/S0167-6911(03)00158-0_BIB10","first-page":"14","article-title":"A method for stabilizing linear periodic control systems (in Russian)","volume":"123","author":"Laptinsky","year":"1988","journal-title":"Vesti Akademii Nauk BSSR, Seriya Fiziko-Matematicheskikh Nauk"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB11","series-title":"The General Problem of the Stability of Motion","author":"Lyapunov","year":"1992"},{"key":"10.1016\/S0167-6911(03)00158-0_BIB12","unstructured":"P. Montagnier, Dynamics and control of time-periodic mechanical systems via Floquet\u2013Lyapunov theory, Ph.D. Thesis, Department of Mechanical Engineering, McGill University, Montreal, QC, Canada, 2002."},{"key":"10.1016\/S0167-6911(03)00158-0_BIB13","unstructured":"P. Montagnier, R.J. Spiteri, A Gramian-based controller for linear time-periodic systems, Technical Report CS-2002-05, Dalhousie University, June 2002 (under review)."},{"issue":"2","key":"10.1016\/S0167-6911(03)00158-0_BIB14","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0167-6911(84)90013-6","article-title":"On the assignment of invariant factors by time-varying feedback strategies","volume":"5","author":"Willems","year":"1984","journal-title":"Systems Control Lett."},{"issue":"1","key":"10.1016\/S0167-6911(03)00158-0_BIB15","first-page":"88","article-title":"A remark on the Floquet\u2013Ljapunov theorem (in Russian)","volume":"25","author":"Yakubovich","year":"1970","journal-title":"Vestnik Leningrad. Univ."},{"key":"10.1016\/S0167-6911(03)00158-0_BIB16","unstructured":"V.A. Yakubovich, V.M. Starzhinskii, Linear Differential Equations with Periodic Coefficients, Vol. 1, Wiley, New York, 1975."}],"container-title":["Systems & Control Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167691103001580?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167691103001580?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,20]],"date-time":"2019-03-20T22:58:56Z","timestamp":1553122736000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167691103001580"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,11]]},"references-count":16,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2003,11]]}},"alternative-id":["S0167691103001580"],"URL":"https:\/\/doi.org\/10.1016\/s0167-6911(03)00158-0","relation":{},"ISSN":["0167-6911"],"issn-type":[{"value":"0167-6911","type":"print"}],"subject":[],"published":{"date-parts":[[2003,11]]}}}