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Control system miscellaneous

  1. The state transition matrix for the system
    x1̇
    =
    1
    0
    x1
    +
    1
    u is
    x2̇1
    1
    x2
    1
    1. et
      0
      et
      et
    2. et
      0
      t2 et
      et
    3. et
      0
      t et
      et
    4. et
      t et
      0
      et
Correct Option: C

State transition matrix,
φ (t) = L-1 [sI - A]-1

= L-1s - 1
0
-1
-1
s - 1

= L-1
1
s - 1
0
(s - 1)21s - 1




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