Gate EC-2016 – 3 Question Paper With Solutions

Q.57 A second-order linear time-invariant system is described by the following state equations
Gate EC-2016 - 3 Question Paper With Solutions
whereGate EC-2016 - 3 Question Paper With Solutions are the two state variables and u(t) denotes the input. If the output Gate EC-2016 - 3 Question Paper With Solutions then the system is

(A) controlled but not observable

(B) observable but not controllable

(C) both controllable and observable

(D) neither controllable nor observable

Answer: (A)

Explanation:
Gate EC-2016 - 3 Question Paper With Solutions
Gate EC-2016 - 3 Question Paper With Solutions
By applying Gilbert’s test, the system is controlled but not observable.

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