For a linear time-dependent control process inRn, 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.
Furi, M., Nistri, P., Pera, M.P., Zezza, P. (1985). Linear controllability by piecewise constant controls with assigned switching times. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 45(2), 219-229 [10.1007/BF00939978].
Linear controllability by piecewise constant controls with assigned switching times
NISTRI, PAOLO;
1985-01-01
Abstract
For a linear time-dependent control process inRn, 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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https://hdl.handle.net/11365/28419
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