GATE EC 2014 Set 4 — Question 56
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Control Systems → State-Space Analysis → State Transition Matrix
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Question
The state transition matrix of a system is
Correct answer
(D) bmatrix 1 & t \ 0 & 1 bmatrix
Solution
The state matrix is . The state transition matrix is given by .
First, find :
Now, find the inverse :
Taking the inverse Laplace transform:
Thus, the correct option is (D).
First, find :
Now, find the inverse :
Taking the inverse Laplace transform:
Thus, the correct option is (D).
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