GO Electrical
0 votes

The state variable formulation of a system is given as

$\begin{vmatrix} x^\cdot_1 \\ x^\cdot_2 \end{vmatrix}=\begin{vmatrix} -2 & 0\\ 0 & -1 \end{vmatrix}\begin{vmatrix} x_1\\ x_2 \end{vmatrix}+\begin{vmatrix} 1\\ 1 \end{vmatrix}u$  ,  $x_1(0)=0$  ,  $x_2(0)=0$ and $y=\begin{vmatrix} 1 & 0 \end{vmatrix}\begin{vmatrix} x_1\\ x_2 \end{vmatrix}$

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

  1. $\frac{1}{2}-\frac{1}{2}e^{-2t}$
  2. $1-\frac{1}{2}e^{-2t}-\frac{1}{2}e^{-t}$
  3. $e^{-2t}-e^{-t}$
  4. $1-e^{-t}$
in Linear Algebra by (1.5k points)
recategorized by

Please log in or register to answer this question.

Answer:
Welcome to GATE Overflow, Electrical, where you can ask questions and receive answers from other members of the community.

847 questions
37 answers
10 comments
26,032 users