Schedule

Time: MW 4:30-6 pm
Locations: Towne 307

This is a list of the main topics to be covered:
  1. Lecture 1 (Aug 31): Overview. Please read Chapter 1 from Bullo's book.
  2. Elements of matrix theory
  3. Fundamentals of graph theory
  4. The adjacency matrix
  5. Discrete-time averaging systems
  6. The Laplacian matrix
  7. Continuous-time averaging systems
  8. The incidence matrix
  9. Positive and compartmental systems
  10. Convergence rates, scalability and optimization
  11. Time-varying averaging algorithms
  12. Randomized averaging algorithms
  13. Nonlinear systems and robotics coordination
  14. Coupled oscillators
  15. Networks of coupled oscillators
  16. Virus propagation
  17. Virus propagation in contact networks
  18. Lotka-Volterra population dynamics
Alternative topics are:
  1. Random walks in networks (Laszlo Lovasz notes).
  2. Structural controllability.
  3. Networked Markov chains.
  4. Higher-order networks.
Comments