# Lecture 09 : Computing Lyapunov Functions with respect to Sums of Square optimization ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture %% 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/OOUBpAsJLrY) # Table of Contents [TOC] ## Topics covered * Sums of Square * Region of Attraction Analysis ## Notes ![](https://i.imgur.com/LOLSiaY.jpg) ![](https://i.imgur.com/2Zuio5F.jpg) ![](https://i.imgur.com/jjxgVdI.jpg) ![](https://i.imgur.com/6jo83W5.jpg)