Computer · Control Systems
Consider a system defined by the state equation matrices: A = [ 1 0 0 ; 0 2 0 ; 0 0 3 ] and B = [ 1 ; 0 ; 1 ]. What is the controllability matrix C = [ B AB A2B ]?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1C = [ 1 1 1 ; 0 0 0 ; 1 3 9 ]✓
- 2C = [ 1 0 1 ; 0 0 0 ; 1 2 3 ]
- 3C = [ 1 1 1 ; 0 0 0 ; 1 3 5 ]
- 4C = [ 1 0 1 ; 0 1 1 ; 1 2 3 ]
Correct answer
C = [ 1 1 1 ; 0 0 0 ; 1 3 9 ]
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