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 : 61 of 65

Marks: +1, -0

The response y(t) to a unit step input is

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