Fall 2001 16.3112-3 For the problem we were just looking at, consider Model #3 with x=[01]≠0,then 20 2 del #3 a C+ 0 32 (x)e4B=[01 01「 0e-t||0 2 0 t Sor*=[0 1 is an uncontrollable state for this system. But that is as expected, because we knew there was a problem with the state 2 from the previous analysis˙ Fall 2001 16.31 12—3 • For the problem we were just looking at, consider Model #3 with x? = [ 0 1 ] T 6= 0, then   − ∙ 2 0 Model # 3 x¯ =   x¯ + 0 2 ¸ u 0 −1 £ 3 2 ¤ y = x¯ so ∙ e−2t 0 0 e−t ¸ ∙ 0 ¸ £ 2 0 1 ¤ e−t ¤ (x? ) T eAtB = ∙ 2 0 ¸ = 0 ∀ t £ = 0 So x? =[0 1 ] T is an uncontrollable state for this system. • But that is as expected, because we knew there was a problem with the state x2 from the previous analysis