An exposition of the results of the author and A. A. Agrachev concerning systems of constant rank and bang-bang theorems for these systems. The author also presents a survey of results on the linearization of smooth systems and points out the relationship between systems which are linearizable by smooth feedback and systems of constant rank.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 35, pp. 135–178, 1989.
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Vakhrameev, S.A. Smooth control systems of constant rank and linearizable systems. J Math Sci 55, 1864–1891 (1991). https://doi.org/10.1007/BF01095138
- Control System
- Linearizable System
- Constant Rank
- Smooth Control
- Smooth System