GATE Electrical Engineering (EE) 2021 Solved Papers

The state space representation of a first-order system is given as:
$\stackrel{.}{\mathit{x}}=-\mathit{x}+\mathit{u}$
$\mathit{y}=\mathit{x}$
where, x is the state variable, u is the control input and y is the controlled output. Let u = –Kx be the control law, where K is the controller gain. To place a closed-loop pole at –2, the value of K is ________