Electronics Engineering · Control Systems
For the state-space system described by x'(t) = [−2 00 −3] x(t) + [11] u(t) and y(t) = [1 1] x(t) with input u(t) = 1 (unit step) and initial states x(0) = 0, which of the following is the zero-state response yZS(t)?
- 1yZS(t) = 2 − e−2t − e−3t
- 2yZS(t) = 56 + 12e−2t + 13e−3t
- 3yZS(t) = 56 − 12e2t − 13e3t
- 4yZS(t) = 56 − 12e−2t − 13e−3t✓
Correct answer
yZS(t) = 56 − 12e−2t − 13e−3t
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