EE263: Introduction to Linear Dynamical Systems

Reza Nasiri Mahalati, Stanford University, Fall Quarter 2018

Instructor

Reza Nasiri Mahalati

  • Office hours: TUesday 10:30AM - noon (after lecture), 120-414

Lectures

09/25/2018 - 12/7/2018

  • Tuesdays and Thursdays, 9:00AM - 10:20AM in NVIDIA Auditorium

  • No lecture on 11/20 or 11/22 for Thanksgiving

Review sessions

  • Weekly review sessions will be held on Fridays (starting 10/5)

  • 12:30 - 1:20PM, Thornton 102

  • These sessions will be videotaped by SCPD and uploaded on their website the following week. Notes from the review sessions will be posted under the notes tab of the website.

Links

Please join the following

  • Piazza for class announcements and discussions.

  • Gradescope for homework submission.

Exams

  • The midterm exam will be a 12hr take-home. Students can choose the date and time they like to start the exam from the five options below. Submissions are due on gradescope 12hrs after your start.

    • 11/2: 5:00PM

    • 11/3: 9:00AM or 5:00PM

    • 11/4: 9:00AM or 5:00PM

  • IMPORTANT: The midterm exam distribution will be online over email. All of the students are required to go to this link, and sign up for one of the 5 exam times by 10/31 at noon.

  • The final exam will be a 15hr take-home. Students can choose the date and time they like to start the exam from the five options below. Submissions are due on gradescope 15hrs after you start.

    • 12/7: 5:00PM

    • 12/8: 9:00AM or 5:00PM

    • 12/9: 9:00AM or 5:00PM

  • IMPORTANT: The final exam distribution will be online over email. All of the students are required to go to this link, and sign up for one of the 5 exam times by 12/5 at noon.

Course description

Applied linear algebra and linear dynamical systems with applications to circuits, signal processing, communications, and control systems. Topics: least-squares approximations of over-determined equations, and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm, and singular-value decomposition. Eigenvalues, left and right eigenvectors, with dynamical interpretation. Matrix exponential, stability, and asymptotic behavior. Multi-input/multi-output systems, impulse and step matrices; convolution and transfer-matrix descriptions. Control, reachability, and state transfer; observability and least-squares state estimation.

Prerequisites: linear algebra and matrices as in MATH104; differential equations and Laplace transforms as in EE102A.

Textbooks

There are no required or optional textbooks. Complete notes will be available online. See the section on reading for details.

Students with Documented Disabilities

Ensuring that students with disabilities have full access in all instructional settings is one of our highest priorities. Students who may need an academic accommodation based on the impact of a disability must initiate the request with the Office of Accessible Education (OAE). Professional staff will evaluate the request with required documentation, recommend reasonable accommodations, and prepare an Accommodation Letter for faculty. Unless the student has a temporary disability, Accommodation letters are issued for the entire academic year. Students should contact the OAE as soon as possible since timely notice is needed to coordinate accommodations. The OAE is located at 563 Salvatierra Walk (phone: 723-1066).

Archive

This course was originally developed and taught by Professor Stephen Boyd, and the complete set of materials consisting of lecture videos, slides, support notes and homework is still available in the archive.