Sussmann, Hector J. Orbits of families of vector fields and integrability of distributions. (English) Zbl 0274.58002 Trans. Am. Math. Soc. 180, 171-188 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 ReviewsCited in 296 Documents MSC: 58A30 Vector distributions (subbundles of the tangent bundles) 37-XX Dynamical systems and ergodic theory 34H05 Control problems involving ordinary differential equations 34C40 Ordinary differential equations and systems on manifolds 93B05 Controllability 93B03 Attainable sets, reachability × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Claude Chevalley, Theory of Lie groups. I, Princeton University Press, Princeton, N. J., 1946 1957. · Zbl 0063.00842 [2] Wei-Liang Chow, Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung, Math. Ann. 117 (1939), 98 – 105 (German). · Zbl 0022.02304 · doi:10.1007/BF01450011 [3] SigurÄ’ur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. [4] Robert Hermann, On the accessibility problem in control theory, Internat. Sympos. Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York, 1963, pp. 325 – 332. [5] Claude Lobry, Contrôlabilité des systèmes non linéaires, SIAM J. Control 8 (1970), 573 – 605 (French). · Zbl 0207.15201 [6] Michihiko Matsuda, An integration theorem for completely integrable systems with singularities, Osaka J. Math. 5 (1968), 279 – 283. · Zbl 0169.24202 [7] Tadashi Nagano, Linear differential systems with singularities and an application to transitive Lie algebras, J. Math. Soc. Japan 18 (1966), 398 – 404. · Zbl 0147.23502 · doi:10.2969/jmsj/01840398 [8] Héctor J. Sussmann and Velimir Jurdjevic, Controllability of nonlinear systems, J. Differential Equations 12 (1972), 95 – 116. · Zbl 0242.49040 · doi:10.1016/0022-0396(72)90007-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.