Jurdjevic, Velimir; Sussmann, Hector J. Control systems on Lie groups. (English) Zbl 0237.93027 J. Differ. Equations 12, 313-329 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 149 Documents MSC: 93C25 Control/observation systems in abstract spaces 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Brockett, R. W., System theory on group manifolds and coset spaces, SIAM J. Control (1972), to appear in · Zbl 0238.93001 [2] Chevalley, C., Theory of Lie Groups (1946), Princeton University Press: Princeton University Press Princeton, NJ · Zbl 0063.00842 [3] Haynes, G. W.; Hermes, H., Nonlinear controllability via Lie theory, SIAM J. Control, 8, 450-460 (1970) · Zbl 0229.93012 [4] Helgason, S., Differential Geometry and Symmetric Spaces (1962), Academic Press: Academic Press New York · Zbl 0122.39901 [5] Kobayashi, S.; Nomizu, K., (Foundations of Differential Geometry, Vol. 1 (1963), Interscience: Interscience New York) · Zbl 0119.37502 [6] Kučera, J., Solution in large of control problem: \(ẋ = (A(1 − u) + Bu)x\), Czech. Math. J., 16, 600-623 (1966) · Zbl 0207.46902 [7] Kučera, J., Solution in large of control problem: \(ẋ = (Au + Bv)x\), Czech. Math. J., 17, 91-96 (1967) · Zbl 0189.15701 [8] Lobry, C., Contrôlabilité des systèmes non linéaires, SIAM J. Control, 8, 573-605 (1970) · Zbl 0207.15201 [9] Sternberg, S., Lectures on Differential Geometry (1964), Prentice Hall: Prentice Hall Englewood Cliffs, NJ · Zbl 0129.13102 [10] H. J. Sussmann\( GL nR\)SIAM J. Control; H. J. Sussmann\( GL nR\)SIAM J. Control [11] H. J. Sussmann and V. JurdjevicJ. Differential Eq.; H. J. Sussmann and V. JurdjevicJ. Differential Eq. · Zbl 0227.93011 [12] Yamabe, H., On an arcwise connected subgroup of a Lie group, Osaka Math. J., 13-14 (1950) · Zbl 0039.02101 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.