Therefore, any place that two poles appear to be connected by a root locus line on the real-axis, the two poles actually move towards each other, and then they "break away", and move off the axis. The point where the poles break off the axis is called the breakaway point. read more
Not all of these roots are on the locus. Of these 2 real roots, there exists 1 root at s = -0.78 on the locus (i.e., K>0). Break-away (or break-in) points on the locus are shown by squares. (Real break-away (or break-in) with K less than 0 are shown with diamonds). read more
Breakaway points signify the points where the loci of poles of a system meet and branch away from the real axis and into complex space to terminate at open-loop zeros in the plot, or those at infinity. There are also break-in points where the loci of complex poles rejoin the real axis and approach zeros. read more