A New Algorithm For Plotting Root LOCI (With Applications)
L.C. Wang, K.W. Han, Hsin-Chu Hsin-Chu, Hsin-Chu Hsin-Chu, George J. Thaler · 1977
The position of a root on the s-plane depends on the characteristic equation and is a ans function of the 'root locus' gain. Using small perturbations and expanding in a Tay lor's series a simple algorithm is obtained which permits calculation of the root locus without factoring the polynomial.