State Space Analysis – Exercise – 1

11. The eigenvalues of the state model are the same as the :

(a)  open-loop poles
(b)  closed-loop poles
(c)  both the open-loop and closed-loop poles
(d)  none of these

Answer
Answer : (b)
Explanation
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12. The state variable approach is applicable to :

(a)  only linear time-invariant systems
(b)  linear time-invariant as well as time-varying systems
(c)  linear as well as nonlinear systems
(d)  all systems

Answer
Answer : (d)
Explanation
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13.  Φ (s) is called the :

(a)  state transition matrix
(b)  resolution matrix
(c)  resolvent matrix
(d)  transfer matrix

Answer
Answer : (c)
Explanation
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14. Using state variables, an nth – order differential equation can be decomposed into :

(a)  n number of first – order differential equations
(b)  n/2 number of first – order diffferential equations
(c)  unlimited number of first – order differential equations
(d)  none of these

Answer
Answer : (a)
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15. D is called the :

(a)  system matrix
(b)  transmission matrix
(c)  transfer matrix
(d)  output matrix

Answer
Answer : (b)
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