Physics · Control Systems
A linear time-invariant system is represented by the state-space model: dX/dt = AX + BU Y = CX + DU Where X is the state vector. The state transition matrix Φ(t) is given by which expression?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Φ(t) = L-1[(sI - A)]
- 2Φ(t) = L[(sI - A)]-1
- 3Φ(t) = L-1[(sI - A)]-1✓
- 4Φ(t) = [(sI - A)]-1
Correct answer
Φ(t) = L-1[(sI - A)]-1
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