{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:34:46Z","timestamp":1787322886760,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2002,1]]},"abstract":"<jats:p>We consider linear systems with m inputs, p outputs, and McMillan degree n such that n=mp. If both m and p are even, we show that there is a nonempty open (in the usual topology) subset U of such systems, where the real pole placement map is not surjective. It follows that, for each system in U, there exists an open set of pole configurations, symmetric with respect to the real line, which cannot be assigned by any real static output feedback.<\/jats:p>","DOI":"10.1137\/s0363012901391913","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"303-312","source":"Crossref","is-referenced-by-count":49,"title":["Pole Placement by Static Output Feedback for Generic Linear Systems"],"prefix":"10.1137","volume":"41","author":[{"given":"A.","family":"Eremenko","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Gabrielov","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1981.1102571"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"C.Byrnes, Pole assignment by output feedback, Lecture Notes in Control and Inform. Sci., Vol. 135, Springer, Berlin, 1989, 31\u20137890k:93001","DOI":"10.1007\/BFb0008458"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0322024"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3816-4"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"A. Eremenko and A. Gabrielov,\n                      Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry\n                      , Ann. of Math. (2), 155 (2002).","DOI":"10.2307\/3062151"},{"key":"R6","unstructured":"A. Eremenko and A. Gabrielov,\n                      Counterexamples to pole placement by static output feedback\n                      , Linear Algebra Appl., to appear."},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1977.1101395"},{"key":"R8","doi-asserted-by":"crossref","unstructured":"StevenKleiman, Problem 15: rigorous foundation of Schubert\u2019s enumerative calculus, Amer. Math. Soc., Providence, R. I., 1976, 0\u20130, 445\u2013482. Proc. Sympos. Pure Math., Vol. XXVIII55:2946","DOI":"10.1090\/pspum\/028.2\/0429938"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1972.11993188"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)90037-X"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/S036301299325270X"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(95)00019-6"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(97)00122-9"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1109\/9.506235"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.2000.10504644"},{"key":"R16","first-page":"205","volume":"2","author":"Wang Xiaochang","year":"1992","journal-title":"J. Math. Systems Estim. Control"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1109\/9.506231"},{"key":"R18","doi-asserted-by":"crossref","unstructured":"J. Willems and W. Hesselink,\n                      Generic properties of the pole placement problem\n                      , in Proceedings of the 7th IFAC Congress, IFAC, New York, 1978, pp. 1725\u20131728.","DOI":"10.1016\/S1474-6670(17)66142-1"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0363012901391913","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:31:42Z","timestamp":1787319102000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0363012901391913"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["10.1137\/S0363012901391913"],"URL":"https:\/\/doi.org\/10.1137\/s0363012901391913","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}