Consider the state variable model with parameter K given by

0 1 0 x(t) 0 0 1 x(t) + u(t), -2 -K -2 y(t) =[100]x(t). Plot the characteristic values of the system as a func- tion of K in the range 0 < K < 100. Determine that range of K for which all the characteristic values lie in the left half-plane.