Homework Assignments for “Network Systems” - Francesco Bullo, UCSB ME/ECE 269, Winter 2024

Chapter #01: “Motivating Problems and Systems”

• Exercise 1.1, 1.2, and 1.3

Chapter #02: “Elements of Matrix Theory”

• Exercises 2.2, 2.5, 2.9, 2.10, 2.11, 2.16

Chapter #03: “Elements of Graph Theory”

• Exercises 3.2, 3.3, 3.6

Chapter #04: “The Adjacency Matrix”

• Exercises: 4.1, 4.5, 4.9

Chapter #05: “Discrete-time Averaging Algorithms”

• Exercises 5.2, 5.3, 5.5

Chapter #06: “The Laplacian Matrix”

• Exercises: 6.1, 6.2, 6.3, 6.15

Chapter #07: “Continuous-time Averaging Algorithms”

• Exercises: 7.10 (all three parts = 30 points)

Chapter #08: “Diffusively-coupled Linear Systems”

• Optional Exercises: 8.2, 8.3, 8.6

Chapter #09: “The Incidence Matrix and its Applications”

• Optional Exercises: 9.1, 9.2, 9.3

Chapter #10: “Compartmental and Positive Systems”

• Optional Exercises: 10.1, 10.4, 10.8, 10.14