Abstract
We consider the finite-dimensional linear control system, with minimal assumptions concerning the control restraint set Ω. Specifically, we consider the set of reachable states and conclude that as far as controllability is concerned, Ω can be replaced by convhull(Ω).
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References
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Communicated by A. V. Balakrishnan
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Pachter, M., Jacobson, D.H. On the reachable sets in linear systems. Appl Math Optim 5, 83–86 (1979). https://doi.org/10.1007/BF01442545
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DOI: https://doi.org/10.1007/BF01442545