UCSB “Network Systems”
ME/ECE 269 and ME125FB, Spring 2017
Instructor: Francesco Bullo
This is the website for the UCSB course ME/ECE 269 and combined
ME125FB “Network Systems”, Winter 2016. This website’s URL is
http://motion.me.ucsb.edu/ME269-Spring2017. A pdf version of this
documentation is available on the course website.
Motivating socio/economic networks, power grids, multi-agent robotics.
Perron-Frobenius matrix theory and algebraic graph theory.
Fundamental dynamics in networks: averaging dynamics in discrete and
continuous time; positive and compartmental systems; coupled
oscillator systems; virus propagation models; population dynamic
models; robotic coordination problems.
Alternate description: The course is intended primarily for graduate
students interested in network science, dynamics over networks,
cooperative and distributed control, distributed systems, and
distributed algorithms. Topics will include: (1) Perron Frobenius
theory, (2) graph theory and algebraic graph theory, (3) basic network
models such as averaging dynamics in discrete and continuous time,
compartmental flow and positive systems, (4) stability theory for
nonlinear systems, (5) Lotka-Volterra population dynamics, virus
propagation dynamics, and coupled-oscillators dynamics, (6) examples
are drawn from socio/economic networks, power grids, robotics.
Competency in linear algebra, nonlinear dynamical systems and linear control systems.
Lecture Time and Place
Engineering Bldg II, room 2243, ME Classroom
Mon and Wed 5:00-6:45pm
(Francesco will have to travel once in April and once in May; arrangements
will be discussed in class)
Units: 4 for graduate students taking ME269
Units: 3 for undergraduate students taking ME125FB
ME125FB for undergraduate students
We will discuss in detail the distinct requirements
for graduate and undergraduate students.
The main source is the following document:
Lectures on Network Systems version 0.90, February 2017, by Francesco Bullo.
The document is available at http://motion.me.ucsb.edu/book-lns
Please download version 0.95(a) or later.
You are welcome to download the textbook in standard format as well as
in slide format.
There may be a few lectures on robotic networks, in which case
we will follow the textbook:
Distributed Control of Robotic Networks by Francesco Bullo,
Jorge Cortes and Sonia Martinez, Princeton University Press,
2009, ISBN 978-0-691-14195-4.
The textbook in hard-cover format is on sale on the websites of
Princeton University Press
and Amazon. The
textbook and tutorial slides are freely available in pdf format at
Professor Francesco Bullo
Department of Mechanical Engineering
Place: Room 2325, Engineering Bldg II
If you have any questions about the course, please send me email. I will
try to respond as quickly as possible. Additionally, I will share
questions that are particularly good (and their answers) with the rest of
the class by broadcasting my answer to the entire class.
If you plan to come to office hours for questions about homework, please be
prepared to show attempts at solving the problem that you prepared before
The class is based on weekly homework assignments
for the first few weeks and a final presentation. Regarding the final
presentation, the students are encouraged to choose a project that is
relevant to their own area of research.
Expanded Resources for Students
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