State diagram of a system is shown below. A system is described by the state variable equations \stackrel{˙}{X} = AX + BU\:;Y = CX + DU State transition matrix e^{At}of the system shown in the figure is

Correct Answer is : [e−t0te−te−t]

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

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

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

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

GATE Electronics and Communications (EC) 2013 Solved Paper

Question : 65 of 65

Marks: +1, -0

State diagram of a system is shown below. A system is described by the state variable equations

\;{X}↖{˙} = AX + BU\:;Y = CX + DU

State transition matrix

e^{At}

of the system shown in the figure is

Go to Question:

Prev Question