Correct Answer is : controllable but not observable

controllable but not observable

not controllable but observable

both controllable and observable

both not controllable and not observable

GATE Electrical Engineering (EE) 2013 Solved Paper

Question Numbers: 60-61
The state variable formulation of a system is given as

{[\table x_1 ; x_2]}={[\table -2 , 0 ; 0 , -1]}{[\table x_1 ; x_2]}+{[\table 1 ; 1]} u, x_1(0)=0, x_2(0)=0

y={[\table 1 , 0]}{[\table x_1 ; x_2]}

Question : 60 of 65

Marks: +1, -0

The system is

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