Consider the state variable model with parameter K given by

 

x(t) = 0 1 0 0 0 1x(t)+0u(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.