{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T21:20:18Z","timestamp":1649107218548},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1981,12,1]],"date-time":"1981-12-01T00:00:00Z","timestamp":376012800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Systems Theory"],"published-print":{"date-parts":[[1981,12]]},"DOI":"10.1007\/bf01786989","type":"journal-article","created":{"date-parts":[[2005,6,19]],"date-time":"2005-06-19T17:17:33Z","timestamp":1119201453000},"page":"323-342","source":"Crossref","is-referenced-by-count":13,"title":["Stability analysis of the orbits of control systems"],"prefix":"10.1007","volume":"15","author":[{"given":"N.","family":"Kalouptsidis","sequence":"first","affiliation":[]},{"given":"D. L.","family":"Elliott","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01786989_CR1","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF01683278","volume":"10","author":"H. Sussmann","year":"1977","unstructured":"H. Sussmann. Existence and Uniqueness of Minimal Realizations of Nonlinear Systems,Math. Systems Theory. vol. 10 (1977), pp. 263\u2013284.","journal-title":"Math. Systems Theory"},{"key":"BF01786989_CR2","doi-asserted-by":"crossref","unstructured":"R. Hermann and A. J. Krener. Nonlinear Controllability and Observability,IEEE Trans on A. C., vol. AC-22, no. 5. Oct. 1977","DOI":"10.1109\/TAC.1977.1101601"},{"key":"BF01786989_CR3","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/0308042","volume":"8.","author":"C. Lobry","year":"1970","unstructured":"C. Lobry. Controllabilite des Systemes non Lineaires,SIAM J. Cont. vol. 8. (1970) pp 573\u2013605","journal-title":"SIAM J. Cont."},{"key":"BF01786989_CR4","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0022-0396(72)90007-1","volume":"12","author":"H. Sussman","year":"1972","unstructured":"H. Sussman and V. Jurdjevic. Controllability of Nonlinear Systems,J. Diff. Equations, vol. 12 (1972). pp 95\u2013116","journal-title":"J. Diff. Equations"},{"key":"BF01786989_CR5","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1090\/S0002-9947-1973-0321133-2","volume":"180","author":"H. Sussmann","year":"1973","unstructured":"H. Sussmann. Orbits of Families of Vector Fields and Integrability of Distributions,Trans. Amer. Math. Soc., vol. 180 (1973). pp 171\u2013188","journal-title":"Trans. Amer. Math. Soc."},{"key":"BF01786989_CR6","doi-asserted-by":"crossref","unstructured":"A. Krener. A Generalization of Chow's Theorem and the Bang-Bang Theorem to Nonlinear Control Problems.SIAM J. Cont., vol. 12 (1974)","DOI":"10.1137\/0312005"},{"key":"BF01786989_CR7","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1016\/0022-0396(71)90059-3","volume":"10","author":"D. Elliott","year":"1971","unstructured":"D. Elliott. A Consequence of Controllability.J. Diff. Equations vol. 10 (1971), pp 364\u2013370","journal-title":"J. Diff. Equations"},{"key":"BF01786989_CR8","doi-asserted-by":"crossref","unstructured":"W. Boothby. A Transitivity Problem from Control Theory,J. Diff. Equations, vol. 17, no. 2, 1975","DOI":"10.1016\/0022-0396(75)90045-5"},{"key":"BF01786989_CR9","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1137\/0308033","volume":"8","author":"G. W. Haynes","year":"1970","unstructured":"G. W. Haynes and H. Hermes. Non-linear Controllability via Lie Theory.SIAM J. Contr. vol. 8, pp 450\u2013460, 1970","journal-title":"SIAM J. Contr."},{"key":"BF01786989_CR10","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1137\/0314045","volume":"14","author":"R. M. Hirschorn","year":"1976","unstructured":"R. M. Hirschorn. Global Controntrability of Nonlinear Systems,SIAM J. Cont., Vol. 14, 1976, pp 700\u2013711","journal-title":"SIAM J. Cont."},{"key":"BF01786989_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-62006-5","volume-title":"Stability Theory of Dynamical Systems","author":"N. Bhatia","year":"1970","unstructured":"N. Bhatia and G. Szeg\u00f6.Stability Theory of Dynamical Systems, Springer-Verlag. Berlin (1970)"},{"key":"BF01786989_CR12","unstructured":"V. Nemytscii and V. Stepanov.Qualitative Theory of Differential Equations (English Translation) Princeton Univ. Press (1960)"},{"key":"BF01786989_CR13","unstructured":"N. Kalouptsidis. Accessibility and Stability Theory of Nonlinear Control Systems, D. Sc. Dissertation. Washington Univ. (1976)"},{"key":"BF01786989_CR14","unstructured":"N. Kalouptsidis and D. Elliott. Accessibility Properties of Smooth Nonlinear Control Systems. in Proceedings of the 1976 Ames Research Center Conf. on Geometric Control Theory. (Martin and Brockett. Eds.)"},{"key":"BF01786989_CR15","doi-asserted-by":"crossref","unstructured":"W. Wonham.Linear Multicariable Control. Geometric Approach, Lecture Notes in Economics and Mathematical Systems. vol. 101. Springer-Verlag. 1974","DOI":"10.1007\/978-3-662-22673-5"},{"key":"BF01786989_CR16","first-page":"265","volume":"10","author":"R. N. Brockett","year":"1972","unstructured":"R. N. Brockett. System Theory on Group Manifolds and Coset Spaces,SIAM J. Com., vol. 10, (1972), pp 265\u2013284","journal-title":"SIAM J. Com."},{"key":"BF01786989_CR17","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/0022-0396(72)90035-6","volume":"16","author":"V. Jurdjevic","year":"1972","unstructured":"V. Jurdjevic and H. Sussman. Control Systems on Lie Groups,J. Diff. Equations, vol. 16 (1972) pp. 313\u2013329","journal-title":"J. Diff. Equations"},{"key":"BF01786989_CR18","doi-asserted-by":"crossref","first-page":"237","DOI":"10.5802\/aif.179","volume":"14","author":"J. Auslander","year":"1964","unstructured":"J. Auslander, P. Seibert. Prolongations and Stability in Dynamical Systems, Ann. Inst. Fourier (Grenoble), vol. 14. pp. 237\u2013267 (1964)","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"key":"BF01786989_CR19","doi-asserted-by":"crossref","unstructured":"N. Kalouptsidis. Prolongations and Lyapunov Functions in Control Systems,Math. Systems Theory, to appear.","DOI":"10.1007\/BF01744578"}],"container-title":["Mathematical Systems Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/content\/pdf\/10.1007\/BF01786989.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/article\/10.1007\/BF01786989\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/content\/pdf\/10.1007\/BF01786989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,7]],"date-time":"2020-04-07T21:02:54Z","timestamp":1586293374000},"score":1,"resource":{"primary":{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/10.1007\/BF01786989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,12]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1981,12]]}},"alternative-id":["BF01786989"],"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1007\/bf01786989","relation":{},"ISSN":["0025-5661","1433-0490"],"issn-type":[{"value":"0025-5661","type":"print"},{"value":"1433-0490","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,12]]}}}