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Literature Cited
H. J. Sussman and V. Jurdjevic, “Controllability of nonlinear systems,” J. Diff. Eqns.,12, 95–116 (1979).
A. J. Krener, “A generalization of Chow's theorem and the bang-bang theorem to nonlinear control problems,” SIAM J. Control Optimiz.,12, No. 1, 43–52 (1974).
R. W. Brockett, “Nonlinear systems and differential geometry,” Proc. IEEE,64, No. 1, 60–88 (1967).
R. Triggiani, “Extension of rank condition for controllability and observability of Banach spaces and unbounded operators,” SIAM J. Control Optimiz.,14, No. 2, 313–338 (1976).
P. I. Dudnikov and S. N. Samborskii, “A controllability criterion for systems in a Banach space. A generalization of Chow's theorem,” Ukr. Mat. Zh.,32, No. 5, 649–653 (1980).
Additional information
Kiev Polytechnic Institute. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 2, pp. 150–159, March–April, 1983.
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Samborskii, S.N. Controllability of systems described by partial differential equations. Sib Math J 24, 279–287 (1983). https://doi.org/10.1007/BF00968742
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DOI: https://doi.org/10.1007/BF00968742