Physics · Control Systems
If the system matrix of a control system is given as A = [ -2 0 ; 0 -2 ], the input matrix B = [0 1], and the output matrix C = [1 3], then the state transition matrix Φ(t) is given by:
- 1[ e2t 0 ; 0 e2t ]
- 2[ e-2t 0 ; 0 e-2t ]✓
- 3[ e2t 0 ; 0 e-2t ]
- 4[ e-2t 0 ; 0 e2t ]
Correct answer
[ e-2t 0 ; 0 e-2t ]
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