Abstract
An analogue of several results on linear control systems is established for autonomous bilinear systems in n-space: the affine span of each reachable set is independent of time, and of the magnitude of control constraints; in a generic case it is all of state space.
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References
H. Hermes, J.P. LaSalle, Functional Analysis and Time-Optimal Control, Acad. Press, 1969.
H. Sussmann, V. Jurdjevic, Controllability of nonlinear systems, J. Diff. Equations 12 (1972) 95–116.
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© 1988 Springer-Verlag Berlin Heidelberg
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Hájek, O., Loparo, K.A. (1988). Bilinear Control: Geometric Properties of Reachable Sets. In: Eiselt, H.A., Pederzoli, G. (eds) Advances in Optimization and Control. Lecture Notes in Economics and Mathematical Systems, vol 302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46629-8_18
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DOI: https://doi.org/10.1007/978-3-642-46629-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18962-6
Online ISBN: 978-3-642-46629-8
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