# Lecture 08 : Computing Lyapunov Functions ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture 08 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/x2-WsFxsNd0) # Table of Contents [TOC] ## Topics covered * Optimization Crash Course * Convex Optimization * Computing Lyapunov Functions * with respect to Linear Programming * with respect to Semi-Definite Programs (SDP) * for Robust Stability ## Notes ![](https://i.imgur.com/lRuermu.jpg) ![](https://i.imgur.com/8yvSqsW.jpg) ![](https://i.imgur.com/DInJv1c.jpg) ![](https://i.imgur.com/J7Xa8M5.jpg)