Part I: Modeling of mechanical systems; Introductory examples and problems; Linear and multilinear algebra; Differential geometry; Simple mechanical control systems; Lie groups, systems on groups, and symmetries -- Part II: Analysis of mechanical control systems; Stability; Controllability; Low-order controllability and kinematic reduction ; Perturbation analysis -- Part III: A sampling of desi…
The Hermite-Biehler Theorem and its Generalization -- PI Stabilization of Delay-Free Linear Time-Invariant Systems -- PID Stabilization of Delay-Free Linear Time-Invariant Systems -- Preliminary Results for Analyzing Systems with Time Delay -- Stabilization of Time-Delay Systems using a Constant Gain Feedback Controller -- PI Stabilization of First-Order Systems with Time Delay -- PID Stabiliza…