Foundations of Classical Control Theory with Reference to Eigenvalue Geometry
Journal of the Franklin Institute
The foundations of linear time-invariant control are re-examined via a new geometric paradigm, gain plots. These plots depict eigenvalue trajectory as an explicit function of gain. Various classical control concepts are generalized in nine theorems and demonstrated in three simple, yet pedagogical, examples.
Kurfess, T. R. and Nagurka, Mark L., "Foundations of Classical Control Theory with Reference to Eigenvalue Geometry" (1993). Mechanical Engineering Faculty Research and Publications. 146.