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.