On global controllability of linear time dependent control systems

Tonolo, Alberto

Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 4, pp. 329-333

Résumé

Let \((A,B)\) be a linear time dependent control process, defined on an open interval \(J = ]a,\omega[\) with \(a \ge - \infty\) and \(\omega \le \infty\); in this paper we give a description of the function \(\tau : I \rightarrow J\), \(\tau(t) = \inf \{t' > t : (A, B)\) is \([t, t' ]\)-globally controllable from \(0 \}\) where \(I = \{t \in J : \exists t' \in J \) with \( (A, B) [t, t' ] \)-globally controllable from \( 0 \} \).