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On the closure of reachable sets for control systems

Authors:

S Perrotta

Institution:

1. Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

Abstract:

We prove the existence of a dense subsetD of continuous functions such that, forf isin

D, the reachable set for the control system

$x_1^{(n)} + a_{n - 1} x_1^{(n - 1)} + \cdot \cdot \cdot + a_1 x'_1 \in \{ \phi _1 ,\phi _2 \} ,x'_2 = f(x_1 ),$

Keywords:	Nonlinear control systems reachable sets bang-bang solutions
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