{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T16:47:45Z","timestamp":1774630065462,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1993,9,1]],"date-time":"1993-09-01T00:00:00Z","timestamp":746841600000},"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":[[1993,9]]},"DOI":"10.1007\/bf01211621","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T17:38:18Z","timestamp":1109353098000},"page":"224-246","source":"Crossref","is-referenced-by-count":25,"title":["Stabilization of nonlinear systems: A bilinear approach"],"prefix":"10.1007","volume":"6","author":[{"given":"R.","family":"Chabour","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Sallet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. C.","family":"Vivalda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","first-page":"93","volume-title":"Theory and Applications of Nonlinear Control Systems","author":"D. Aeyels","year":"1986","unstructured":"D. Aeyels, Local and global stabilizability for nonlinear systems, inTheory and Applications of Nonlinear Control Systems (C. I. Byrnes and A. Lindquist, eds.), Elsevier, Amsterdam, 1986, pp. 93?105."},{"key":"CR2","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1016\/0362-546X(83)90049-4","volume":"7","author":"Z. Artstein","year":"1983","unstructured":"Z. Artstein, Stabilization with relaxed controls,Nonlinear Anal.,7 (1983), 1163?1173.","journal-title":"Nonlinear Anal."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/BF02551367","volume":"3","author":"A. Bacciotti","year":"1990","unstructured":"A. Bacciotti and P. Boieri, Linear stabilizability of planar nonlinear systems,Math. Control Signals Systems,3 (1990), 183?193.","journal-title":"Math. Control Signals Systems"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0167-6911(91)90008-3","volume":"16","author":"A Bacciotti","year":"1991","unstructured":"A Bacciotti and P. Boieri, A characterization of single input planar bilinear systems which admit a smooth stabilizer,Systems Control Lett.,16 (1991), 139?143.","journal-title":"Systems Control Lett."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0167-6911(89)90100-X","volume":"12","author":"W. Boothby","year":"1989","unstructured":"W. Boothby and R. Marino, Feedback stabilization of planar nonlinear systems,Systems Control Lett.,12 (1989), 87?92.","journal-title":"Systems Control Lett."},{"key":"CR6","first-page":"181","volume-title":"Differential Geometric Control Theory","author":"R. W. Brockett","year":"1983","unstructured":"R. W. Brockett. Asymptotic stability and feedback stabilization, inDifferential Geometric Control Theory (R. W. Brockett, R. S. Millman, and H. J. Sussmann, eds.), Birh\u00e4user, Boston, 1983, pp. 181?191."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/0167-6911(88)90105-3","volume":"11","author":"C. Byrnes","year":"1988","unstructured":"C. Byrnes and A. Isidori, Local stabilization of minimum phase nonlinear systems,Systems Control Lett.,11 (1988), 9?17.","journal-title":"Systems Control Lett."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1109\/9.100932","volume":"36","author":"C. Byrnes","year":"1991","unstructured":"C. Byrnes, A. Isidori, and J. C. Willems, Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems,IEEE Trans. Automat. Control,36 (1991), 1228?1240.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR9","unstructured":"R. Chabour and J. C. Vivalda, Stabilisation des syst\u00e8mes bilin\u00e9aires dans le plan par une commande non r\u00e9guli\u00e8re,Proceedings of the European Control Conference, Hermes, 1991, pp. 485?487."},{"key":"CR10","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0167-6911(89)90051-0","volume":"12","author":"W. P. Dayawansa","year":"1989","unstructured":"W. P. Dayawansa and C. F. Martin, Asymptotic stabilization of two-dimensional real analytic systems,Systems Control Lett,12 (1989), 205?211.","journal-title":"Systems Control Lett"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1137\/0328070","volume":"28","author":"W. P. Dayawansa","year":"1990","unstructured":"W. P. Dayawansa, C. F. Martin, and G. Knowles, Asymptotic stabilization of a class of smooth two-dimensional systems,SIAM J. Control Optim.,28 (1990), 1321?1349.","journal-title":"SIAM J. Control Optim."},{"key":"CR12","first-page":"307","volume-title":"Outils et Modeles Mathematiques pour l'Automatique, l'Analyse de Systemes et le Traitement du Signal","author":"J. P. Gauthier","year":"1981","unstructured":"J. P. Gauthier and G. Bornard, Stabilisation des syst\u00e8mes non lin\u00e9aires, inOutils et Modeles Mathematiques pour l'Automatique, l'Analyse de Systemes et le Traitement du Signal, Editions du CNRS, Paris, 1981, pp. 307?324."},{"key":"CR13","volume-title":"Differential Equations: Stability and Control","author":"H. Hermes","year":"1991","unstructured":"H. Hermes, Homogeneous coordinates and continuous stabilizing feedback controls, inDifferential Equations: Stability and Control (S. Elaydi, ed.), Marcel Dekker, New York, 1991."},{"key":"CR14","volume-title":"Differential Equations, Dynamical Systems and Linear Algebra","author":"M. W. Hirsch","year":"1974","unstructured":"M. W. Hirsch and S. Smale,Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, New York, 1974."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/0022-0396(78)90135-3","volume":"28","author":"V. Jurdjevic","year":"1978","unstructured":"V. Jurdjevic and J. P. Quinn, Controllability and stability,J. Differential Equations,28 (1978), 381?389.","journal-title":"J. Differential Equations"},{"key":"CR16","first-page":"497","volume":"6","author":"M. Kawski","year":"1990","unstructured":"M. Kawski, Homogeneous stabilizing feedback laws,Control Theory Adv. Tech.,6 (1990), 497?516.","journal-title":"Control Theory Adv. Tech."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/0167-6911(89)90010-8","volume":"12","author":"M. Kawski","year":"1990","unstructured":"M. Kawski, Stabilization of nonlinear systems in the plane,Systems Control Lett.,12 (1990), 169?175.","journal-title":"Systems Control Lett."},{"key":"CR18","doi-asserted-by":"crossref","first-page":"182","DOI":"10.2307\/1969955","volume":"64","author":"J. L. Massera","year":"1956","unstructured":"J. L. Massera, Contribution to stability theory,Ann of Math.,64 (1956), 182?206.","journal-title":"Ann of Math."},{"key":"CR19","doi-asserted-by":"crossref","unstructured":"L. Praly, B. d'Andr\u00e9a-Novel, and J.-M. Coron, Lyapunov design of stabilizing controllers,Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, FL, 1989, pp. 1047?1052.","DOI":"10.1109\/CDC.1989.70285"},{"key":"CR20","volume-title":"Equations Diff\u00e9rentielles Ordinaires, vol. 2","author":"N. Rouche","year":"1973","unstructured":"N. Rouche and J. Mawhin,Equations Diff\u00e9rentielles Ordinaires, vol. 2, Masson, Paris, 1973."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1137\/0328079","volume":"28","author":"A. Saberi","year":"1990","unstructured":"A. Saberi, P. V. Kokotovi?, and H. J. Sussmann. Global stabilization of partially linear composed systems.SIAM J. Control Optim.,28 (1990), 1491?1503.","journal-title":"SIAM J. Control Optim."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1137\/0321028","volume":"21","author":"E. D. Sontag","year":"1983","unstructured":"E. D. Sontag, A Lyapunov-like characterization of asymptotic controllability,SIAM J. Control Optim.,21 (1983), 462?471.","journal-title":"SIAM J. Control Optim."},{"key":"CR23","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/0167-6911(89)90052-2","volume":"12","author":"E. D. Sontag","year":"1988","unstructured":"E. D. Sontag and H. J. Sussmann, Further comments on the stabilizability of the angular velocity of the rigid body,Systems Control Lett.,12 (1988), 213?217.","journal-title":"Systems Control Lett."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/BF02551276","volume":"2","author":"J. Tsinias","year":"1989","unstructured":"J. Tsinias, Sufficient Lyapunov-like conditions for stabilization,Math. Control Signals Systems,2 (1989), 343?357.","journal-title":"Math. Control Signals Systems"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211621.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211621\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211621","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T05:45:10Z","timestamp":1556775910000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,9]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1993,9]]}},"alternative-id":["BF01211621"],"URL":"https:\/\/doi.org\/10.1007\/bf01211621","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,9]]}}}