Any quantity that has two components, can be represented in at least two different ways:
Rectangular Coordinates, where the magnitude of the components, can be represented by a point, with respect to a pair of orthogonal coordinate axes.
Polar Coordinates, where the two components are the...
From time to time there will be a thread on the construction of a root locus. These were methods used long before computers achieved wide availability. They are especially useful for transfer functions of third and higher orders.
For a system with a loop transfer function G(s)H(s), the first...