### Control Systems Comparison

Problem 1: Using the riocus function, obtain the root locus for the following transfer function shown in Figure 1 when 0 < k < ∞ and G(s) is defined as the following: G(s) = (s5+4s4+ 6s3+8s2+6s+4)/( s6+2 s5+2s4+s3+s2+10 -1) 1. Comment on the stability of the system as k varies. Figure 2 Problem 2: Consider