Stability analysis of sturm-Liouville dynamics with 2D transfer function

摘要

For control applications of Sturm-Liouville class of dynamics, this work focuses on the most fundamental issue — the stability analysis. Three types of stability are defined: Exponential Stability, Asymptotical Stability, and Bounded-input-bounded-output stability, and they are proved equivalent to one another. It is followed by two application examples that provide manifestation of practicable significance to such a stability construction.