Controllability of nonlinear systems

Journal of Differential Equations - Tập 12 - Trang 95-116 - 1972
Héctor J Sussmann1
1Department of Mathematics, University of Chicago, Chicago, Illinois 60637 U.S.A.

Tài liệu tham khảo

Bishop, 1964 R. W. Brockett, System theory on group manifolds and coset spaces, SIAM J. Control, to appear. Chevalley, 1946 Chow, 1939, Über Systeme von linearen partiellen Differential-gleichungen erster Ordnung, Math. Ann., 117, 98, 10.1007/BF01450011 Elliott, 1971, A consequence of controllability, J. Diff. Eqs., 10, 364, 10.1016/0022-0396(71)90059-3 Haynes, 1970, Nonlinear controllability via Lie theory, SIAM J. Control, 8, 450, 10.1137/0308033 Helgason, 1962 Hermann, 1965, E. Cartan's geometric theory of partial differential equations, Advances in Math., 1, 265, 10.1016/0001-8708(65)90040-X Hermann, 1963, On the accessibility problem in control theory, 325 Hermann, 1962, The differential geometry of foliations II, J. Math. Mech., 11, 305 Jurdjevic, 1970, Abstract control systems: controllability and observability, SIAM J. Control, 8, 424, 10.1137/0308030 Kalman, 1963, Controllability of linear dynamical systems, Contrib. Diff. Eqs., 1, 189 Kobayashi, 1963, Vol. I Kučera, 1966, Solution in large of control problem: ẋ = (A(1 − u) + Bu)x, Czech. Math. J., 16, 600, 10.21136/CMJ.1966.100751 Kučera, 1967, Solution in large of control problem: ẋ = (Au + Bv)x, Czech. Math. J., 17, 91, 10.21136/CMJ.1967.100763 Lobry, 1970, Contrôlabilité des systèmes non linéaires, SIAM J. Control, 8, 573, 10.1137/0308042 Lobry, 1971, Une propriété de l'ensemble des états accessibles d'un système guidable, C. R. Acad. Sci. Paris, 272, 153 Spanier, 1966 Sternberg, 1964 H. J. Sussmann, The bang-bang problem for certain control systems in GL(n, R), SIAM J. Control, to appear. H. J. Sussmann, The control problem ẋ = (A(1 − u) + Bu)x: a comment on an article by J. Kučera, Czec