The same complete root locus is generated by all loop transfer functions whose numerator
and denominator are linear combinations of the polynomials n (s) and d (s). Therefore, a …

In this paper, a new finding related to the well-known root locus method that is covered in the
introductory control systems books is presented, It is shown that some of the complementary …

The graphical method of constructing root locus is very well known. The analytical methods
of obtaining root locus equations developed in the Soviet Union merit utilization due to the …

GH= _ _ _ _-~~-, K (s-Zl)(SZ?)...(s-. i)(s-Pd (SP?)...(sP,) x; and pi being the open-loop zeros
and poles. The number of closed-loop poles equals the order of the characteristic equation …

New results are summarized which extend the Evans (1950) root locus design technique to
fully coupled, two-channel control law architectures. The new results are based upon …

After a first contact with Evans' root locus plots, in an introductory course about classical
control theory, students usually pose questions for which the answers are not trivially found …

The slope of a transfer function Page 1 The slope of a transfer function EDUARD EITELBERG{
Exact and approximate equations are derived that relate the magnitude slope of a general …

This paper is concerned with the qualitative behaviour of the multivariable root-locus for high
and low gains. For a non-singular m× m rational transfer function, the Butterworth approach …

A comprehensive discussion is given of the background to the generalized Nyquist stability
criterion for linear multivariable feedback systems. This leads to a proof based on the use of …

The differential properties of root loci including pole sensitivity, angle of slope, and curvature
at ordinary and irregular points are investigated in a unified manner. A relation between the …