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2) Consider the system

i(t) = Ax(t) + Bu(t),

x(to) = To.

defined on a given time-interval [to, t₁]. We have seen in class that the reachable subspace,

R(I), is identical to R(Ge(to, t1)), where

Ge(to, tr) = f

Prove that R(W) = R(Ge(to, t1)).

(t₁,7)B(T)B(T) (t₁,7) dr.

Fig: 1