1

Introduction and Overview of the Course (PDF - 4.1MB)

2

Overview of Nonlinear Optimization (PDF - 6.1MB)

3

Sum of Squares for Nonlinear Optimization (PDF - 4.7MB)

4

Measure and Moments for Nonlinear Optimization (PDF - 5.2MB)

5

Duality of SOS and Moment-Based SDPs (PDF - 6MB)

6

Modified Sum-of-Squares Relaxations for Large-Scale Optimizations (PDF - 5MB)

7

Nonlinear Chance-Constrained and Chance Optimization (PDF - 6.2MB)

8

Nonlinear Robust and Distributionally Robust Chance-Constrained Optimization (PDF - 4.5MB)

9

Algorithms for Large-Scale Semidefinite Programs (Guest Lecture)

10

Probabilistic Nonlinear Safety Verification (PDF - 9.2MB)

11

Risk Aware Planning and Control of Probabilistic Nonlinear Dynamical Systems (PDF - 6.5MB)

12

Mean-and-Covariance–Based Control and Safety Verification of Probabilistic Dynamical Systems (PDF - 4.8MB)

13

Occupation-Measure–Based Control of Continuous-Time Nonlinear Dynamical Systems (PDF - 3.5MB)

14

Sum-of-Squares Optimization-Based Robust Planning for Uncertain Nonlinear Systems (PDF - 3.3MB)