{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T13:55:45Z","timestamp":1761486945960},"reference-count":23,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1983,3,1]],"date-time":"1983-03-01T00:00:00Z","timestamp":415324800000},"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":["Automatica"],"published-print":{"date-parts":[[1983,3]]},"DOI":"10.1016\/0005-1098(83)90090-0","type":"journal-article","created":{"date-parts":[[2003,3,14]],"date-time":"2003-03-14T13:27:27Z","timestamp":1047648447000},"page":"183-189","source":"Crossref","is-referenced-by-count":14,"title":["Characterization of equilibrium sets for bilinear systems with feedback control"],"prefix":"10.1016","volume":"19","author":[{"given":"A.","family":"Benallou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.A.","family":"Mellichamp","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.E.","family":"Seborg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0005-1098(83)90090-0_BIB1","first-page":"849","article-title":"Output feedback stabilization\u2014solution by algebraic geometry methods","volume":"65","author":"Anderson","year":"1977"},{"key":"10.1016\/0005-1098(83)90090-0_BIB2","first-page":"187","author":"B\u00f4cher","year":"1907"},{"key":"10.1016\/0005-1098(83)90090-0_BIB3","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1109\/TAC.1975.1100875","article-title":"Inner algorithm to test for positive definiteness of arbitrary binary forms","volume":"AC-29","author":"Bose","year":"1975","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB4","doi-asserted-by":"crossref","first-page":"696","DOI":"10.1109\/TAC.1976.1101356","article-title":"General procedure for multivariable polynomial positivity test with control applications","volume":"AC-21","author":"Bose","year":"1976","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB5","series-title":"Theory and Applications of Variable Structure Systems","first-page":"137","article-title":"Mathematical models and identification of bilinear systems","author":"Bruni","year":"1972"},{"key":"10.1016\/0005-1098(83)90090-0_BIB6","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1109\/TAC.1974.1100617","article-title":"Bilinear systems: an appealing class of \u2018nearly linear systems\u2019 in theory and applications","volume":"AC-19","author":"Bruni","year":"1974","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB7","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1145\/321662.321666","article-title":"The Calculation of Multivariate Polynomial Resultants","volume":"18","author":"Collins","year":"1971","journal-title":"J. Assoc. Comput. Mach."},{"key":"10.1016\/0005-1098(83)90090-0_BIB8","series-title":"Theory and Application of Variable Structure Systems","first-page":"25","article-title":"Structure analysis of linear and bilinear dynamic systems","author":"D'Alessandro","year":"1972"},{"key":"10.1016\/0005-1098(83)90090-0_BIB9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1080\/00207178008961039","article-title":"Design of linear feedback laws for bilinear systems","volume":"31","author":"Derese","year":"1980","journal-title":"Int. J. Control."},{"key":"10.1016\/0005-1098(83)90090-0_BIB10","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1109\/TAC.1975.1100999","article-title":"On the relationship between bilinear and quadratic systems","volume":"AC-20","author":"Frayman","year":"1975","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB11","first-page":"175","volume":"Vol. 2","author":"Gantmacher","year":"1960","journal-title":"The Theory of Matrices"},{"key":"10.1016\/0005-1098(83)90090-0_BIB12_1","first-page":"162","volume":"Vol. 1","author":"Hodge","year":"1968"},{"key":"10.1016\/0005-1098(83)90090-0_BIB12_2","first-page":"24","volume":"Vol. 1","author":"Hodge","year":"1968"},{"key":"10.1016\/0005-1098(83)90090-0_BIB13","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1109\/TAC.1975.1100931","article-title":"On the stabilization of bilinear systems via hyperstability","volume":"AC-20","author":"Ionescu","year":"1975","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB14_1","first-page":"295","volume":"Vol. III","author":"Jacobson","year":"1964"},{"key":"10.1016\/0005-1098(83)90090-0_BIB14_2","first-page":"278","volume":"Vol. III","author":"Jacobson","year":"1964"},{"key":"10.1016\/0005-1098(83)90090-0_BIB15","first-page":"43","author":"Jury","year":"1974"},{"key":"10.1016\/0005-1098(83)90090-0_BIB16","author":"Mohler","year":"1973"},{"key":"10.1016\/0005-1098(83)90090-0_BIB17","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1145\/365758.365802","article-title":"Solution of systems of polynomial equations by elimination","volume":"9","author":"Moses","year":"1966","journal-title":"Commun. ACM"},{"key":"10.1016\/0005-1098(83)90090-0_BIB18","first-page":"48","article-title":"Stabilization of bilinear systems by a linear feedback control","volume":"16","author":"Pedrycz","year":"1980","journal-title":"Kybernetika"},{"key":"10.1016\/0005-1098(83)90090-0_BIB19","doi-asserted-by":"crossref","first-page":"486","DOI":"10.1109\/TAC.1978.1101759","article-title":"Global controllability of a class of bilinear systems","volume":"AC-23","author":"Wei","year":"1978","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB20","doi-asserted-by":"crossref","first-page":"1020","DOI":"10.1109\/TAC.1978.1101908","article-title":"On minimum energy control of commutative bilinear systems","volume":"AC-23","author":"Wei","year":"1978","journal-title":"IEEE Trans Aut. Control"},{"key":"10.1016\/0005-1098(83)90090-0_BIB21","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1145\/321105.321109","article-title":"Algebra of polynomials in several variables for a digital computer","volume":"9","author":"Williams","year":"1962","journal-title":"J. Assoc. Comput. Mach."}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109883900900?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0005109883900900?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T22:57:09Z","timestamp":1553641029000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0005109883900900"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,3]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1983,3]]}},"alternative-id":["0005109883900900"],"URL":"https:\/\/doi.org\/10.1016\/0005-1098(83)90090-0","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[1983,3]]}}}