Abstract
For a linear time-dependent control process inR n, we prove that the complete controllability by means of the space of all the admissible controls is equivalent to the complete controllability by means of a suitablen-dimensional space of piecewise constant controls with at mostn preassigned switching times. An analogous result is also established for more general controllability problems.
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Communicated by R. Conti
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Furi, M., Nistri, P., Pera, M.P. et al. Linear controllability by piecewise constant controls with assigned switching times. J Optim Theory Appl 45, 219–229 (1985). https://doi.org/10.1007/BF00939978
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DOI: https://doi.org/10.1007/BF00939978