Notes

Generative Modeling for Control

• Lecture 0: Control as Generative Modeling

• Lecture 1: Fokker-Planck Equation

• Lecture 2: Nonholonomic Fokker-Planck equation for Drifltess Systems

• Lecture 3: Nonholonomic Fokker-Planck equation for Drifltess Systems (The Non-skew Adjoint Generator Case)

• Lecture 4: Nonholomoic Fokker-Planck Equations for LTIs and Systems with Drift

• Lecture 5: Nonholonomic Stochastic Gradient Descent

• Lecture 6: Control using the Continuity Equation 

• Lecture 7: Controlled Normalizing Flows

• Lecture 8: Feedback Control using Denoising Diffusion

• Lecture 9: Feedback Control using Denoising  Diffusion (LTIs) 

• Lecture 10: Feedback Control using Denoising  Diffusion (Nonlinear Systems with Drift) 

• Lecture 11: Flow Matching - Open loop to Closed Loop Synthesis

Miscellaneous Notes

• Collective Decision Making as Feedback Control

• Controllability Tests using Laplacians 

• The Averaging Theory Behind Narrow Neural ODEs

• Continuity Equation Based Convexification of Nonlinear Control Problems

• Controlling Systems to Ergodic Objectives