This video series on Lyapunov stability theory will introduce the following topics:
1. Nonlinear systems
2. Definitions of stability
3. Lyapunov functions
4. LaSalle's invariant set theorems,
amongst others. This series is aimed at undergraduates with only some experience in analysis and differential equations.

In part one (this video), we demonstrate the beauty of nonlinear systems by highlighting one behavior that is unique to them: limit cycles.

Maison Clouatre is a student researcher in the Department of Electrical & Computer Engineering at Mercer University in Macon, GA. He works at the intersection of data-science, machine learning, and control theory. In his free time, he enjoys making educational videos that disseminate abstract research topics to audiences to whom such topics are otherwise inaccessible.

свернуть