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##### 5. The next few questions deal with in discrete-time versions of concepts we will examine in continuous- time in lecture A linear state space system in discrete-time has dynamics given by:rlk + 1] = Arfk] + Bulk]Assume z o] = 0. Show that the following holds for all k > 1:ulk: uk: 2] A*-IB]ck] = [B ABufo](Aside: So we see that sequence of inputs can be chosen to reach particular value = â‚¬ R" in k steps if # is in the range space of Ck.)A state z is said to be reachable in k steps if th

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