UCSB “Network Systems”
ME/ECE 269, Spring 2019
Instructor: Francesco Bullo

This is the website for the UCSB course ME/ECE 269 “Network Systems”, Spring 2019. This website's URL is http://motion.me.ucsb.edu/ME269-Spring2019. A pdf version of this documentation is available on the course website.

Offical Description

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.

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
Tue, Thu and Fri: 9:30am-10:45am

Francesco has three business trips during the quarter; see the syllabus for precise arrangements.

Course credit

Units: 4 for graduate students taking ME/ECE269


  • The main source is the following document:
    Lectures on Network Systems version 1.2, May 1, 2018, by Francesco Bullo.
    The document is available at http://motion.me.ucsb.edu/book-lns
    You are welcome to download the textbook in standard format as well as in slide format.


Professor Francesco Bullo
Department of Mechanical Engineering
Email: bullo-at-engineering.ucsb.edu
Website: http://motion.me.ucsb.edu

Office hours

Place: Room 2325, Engineering Bldg II
Time: Thu 11am-12pm and additional times, if anybody asks/needs (please email me in advance)

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 come to office hours with questions about homework, please be prepared to show written careful attempts at solving the problem that you prepared before coming.

Grading for ME/ECE 269

The class is based on weekly homework assignments for the first few weeks and a final report/presentation. Regarding the final presentation, students are encouraged to work in pairs, and choose a project that is relevant to their own area of research.

Resources for Students

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Mental Health Statement

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