The one-step-map for switched singular systems in discrete-time

We study switched singular systems in discrete time and first highlight that in contrast to continuous time regularity of the corresponding matrix pairs is not sufficient to ensure a solution behavior which is causal with respect to the switching signal. With a suitable index-1 assumption for the whole switched system, we are able to define a one-stepmap which can be used to provide explicit solution formulas for general switching signals.

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