For a linear time-dependent control process in R^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 suitable n-dimensional space of piecewise constant controls with at most n preassigned switching times.
Linear controllability by piecewise constant controls with assigned switching times / M. Furi; P. Nistri; M. P. Pera; P. Zezza. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 45:(1985), pp. 219-229. [10.1007/BF00939978]
Linear controllability by piecewise constant controls with assigned switching times
FURI, MASSIMO;PERA, MARIA PATRIZIA;ZEZZA, PIERLUIGI
1985
Abstract
For a linear time-dependent control process in R^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 suitable n-dimensional space of piecewise constant controls with at most n preassigned switching times.
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