Homework Assignment by Chapter

Homework is due one week after the corresponding chapter is fully covered in class.

Chapter #01: “Motivating Problems and Systems”

• additional introductory slides: (pdf)

• Exercise 1.1, 1.2, and 1.3

Chapter #02: “Elements of Matrix Theory”

• Exercises 2.1, 2.2, 2.5, 2.9, 2.10, 2.12, 2.16

• Optional: 2.13

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, 5.7

Chapter #06: “The Laplacian Matrix”

• Exercises: 6.1, 6.2, 6.3, 6.8, 6.15

Chapter #07: “Continuous-time Averaging Algorithms”

• Exercises: 7.2, 7.3, 7.4, 7.5

Chapter #08: “Diffusively-coupled Linear Systems”

• Exercises: 8.3, 8.7

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

• Exercises: 9.1, 9.2, 9.3

Chapter #10: “Compartmental and Positive Systems”

• Exercises: 10.1, 10.4, 10.8, 10.10