Linear Systems Theory (EE 60550) Syllabus

University of Notre Dame
Department of Electrical Engineering

Description: This course is a formal mathematical introduction to linear dynamical systems theory. The course topics include 1) Review of linear algebra and signal/systems transform domain methods, 2) linear modeling of dynamical systems through operator theoretic concepts, transfer function matrices, and state-space equations, 3) Linearization methodologies (Taylor jet and Feedback linearization) 4) Stability theory for linear systems (Lyapunov stability theory for time-varying and time-invariant systems) 4) Reachability and Observabity of Linear Systems, 5) Partially Controllable/Observable Systems, 6) Realization Theory, 7) Feedback in Linear Systems Theory, 8) Linear Quadratic Regulator, Steady-State Kalman Filters, and Observer-based Control Systems.

Pre-requisites: Undergraduate course work in ordinary differential equations, linear algebra, and transform-based signal/systems concepts.

Course Reading Materials
  1. REQUIRED: EE Dept. Lecture Book
  2. RECOMMENDED: J.P. Hespanha, Linear Systems Theory, Princeton University Press, 2nd edition, 2018
  3. RECOMMENDED: P.J. Antsaklis and A.N. Michel, A Linear Systems Primer, Birkhauser, 2007 edition
  4. RECOMMENDED: G. Strang, Linear Algebra and its Applications, Cengage Learning, 2006.
TOPICS
  • Mathematics for Linear Systems
  • Linear Models for Dynamical Systems
  • Stability
  • Controllability and Observability
  • Feedback Theory for Linear Systems
  1. Grading: Homework 40% - 2 Midterm Exam 30% - Final Exam 30%
    Hardcopy of HW due in class on due date
  2. Instructor: Michael Lemmon, Fitzpatrick 266, lemmon at nd.edu
  3. Office Hours: Friday 9-12, Fitz 266 (or make gcal appointment)