The state transition matrix for the system \left[\begin{array}{c}˙{x\end{array}_1 ; ˙{x}_2]}=\left[\begin{array}{cc}1 & 0 \ 1 & 1]\end{array}\left[\begin{array}{c}x_1 \ x_2]\end{array}+\left[\begin{array}{c}1 \ 1]\end{array} u {\is}

\left[\begin{array}{c}e^{t\end{array} , 0 ; e^{t} , e^{t} ; ]}

\left[\begin{array}{c}e^{t\end{array} , 0 ; t^{2}e^{t} , e^{t} ; ]}

\left[\begin{array}{c}e^{t\end{array} , 0 ; te^{t} , e^{t} ; ]}

\left[\begin{array}{c}e^{t\end{array} , te^{t} ; 0 , e^{t} ; ]}

GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

Question : 28 of 65

Marks: +1, -0

The state transition matrix for the system

{[\table ˙{x}_1 ; ˙{x}_2]}={[\table 1 , 0 ; 1 , 1]}{[\table x_1 ; x_2]}+{[\table 1 ; 1]} u {\is}

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