Further remarks on stabilizing chains of integrators by using network delays

This paper focuses on the closed-loop stability of a chain of integrators in a networked-control setting. More precisely, we are interested in using the network-induced delays as control parameters. Similar to the continuous-time case, we will see that a single delay is not sufficient to stabilize a chain having n integrators, but that n delay blocks are able to stabilize such a chain without being able to guarantee an arbitrary pole placement for the corresponding closed-loop system. Several illustrative examples complete the presentation.

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