# Lecture 06 : Model Underactuated Systems - II ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture 6 of the course MIT 6.832 (Underactuated Robotics) of 2019 **Youtube Channel :** [6.832 Underactuated Robotics](https://www.youtube.com/channel/UChfUOAhz7ynELF-s_1LPpWg/) **Textbook :** [website](http://underactuated.csail.mit.edu/) **Lecture :** [video](https://youtu.be/T-aON2JHajs) # Table of Contents [TOC] ## Topics covered * Stability of Damped Pendulum * Lyapunov Functions * Global Asymptotic Stability * Local Stability * Regional Stability * Swing up for pendulum * Cartpole and Acrobot ## Notes ![](https://i.imgur.com/0s4xwKa.jpg) ![](https://i.imgur.com/arfP561.jpg) ![](https://i.imgur.com/1Ww65EE.jpg) ![](https://i.imgur.com/fw3NKz7.jpg)