Abstract
We study the stability preservation problem for nonlinear systems under sampled and delayed input. The main results of this paper are twofold: 1) global asymptotic stability preservation (GASP) is possible if the system is globally Lipschitz continuous (GLC) and globally exponentially stabilizable (GES); 2) For a nonlinear system that is not GLC nor GES, semi-GASP is possible if it is globally asymptotically locally exponentially stabilizable (GALES) by smooth feedback.
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