Linear Systems (EE 60550)

University of Notre Dame



Description: Simultaneous linear equations and orthogonal projections. Linear Algebra. State variable descriptions of linear dynamical systems. Solution of state equations for continuous-time and discrete-time systems. Input-output descriptions: impulse response and transfer function. Controllability, observability, canonical forms, stability. Realizations of input-output descriptions. State feedback and state observers. (Fall)

Lectures:
  1. week 1 - Linear Algebraic Equations
  2. week 2 - Linear Algebra Concepts
  3. week 3 - Function Space Approach to Systems
  4. week 4 - State Space Models Part 1
  5. week 5 - State Space Models Part 2
  6. week 6 - Controllability
  7. week 7 - Observability and Realizations
  8. week 8 - Realization Theory
  9. week 9 - State Feedback - Pole Placement
  10. week 10 - Linear Quadratic Control Systems
  11. week 11 - State Observers
  12. week 12 - Output Feedback Control


  1. Homework 1 - Systems of Linear Algebraic Equations Assigned: 8/28/2009 - Due 9/4/2009 (solution)
  2. Homework 2 - Linear Spaces Assigned: 9/4/09 - due 9/11/09 (solution)
  3. Homework 3 - Function Spaces of Linear Systems Assigned 9/11/09 - due: 9/18/09 (solution)
  4. Homework 4 - State Space Models - part 1 Assigned 9/18/09 - due 9/25/09 (solution)
  5. Homework 5 - State Space Models - part 2 Assigned 9/25/09 - due 10/7/09 (solution)
  6. Homework 6 - Controllability Assigned 10/7/09 - due 10/16/09 (solution)
  7. Homework 7 - Controllability/Observability Assigned 10/16/09 due 11/2/09 solution)
  8. Homework 8 - Realizations Assigned 11/2/09 due 11/6/09 (solution)
  9. Homework 9 - Pole Placement Assigned 11/13/09 due 11/20/09
  10. Homework10 - Linear Quadratic Problems Assigned 11/20/09 due 12/2/09

Grading: 20 % homework, 40 % midterms, 40% final.
Instructor: Michael Lemmon, Dept. of Electrical Engineering, University of Notre Dame (lemmon at nd dot edu)
Textbooks:
  1. required: P.J. Antsaklis and A.N. Michel, " Linear Systems", 2nd printing, Birkhauser, 2006. (ISBN 978-0-8176-4434-5)
  2. optional: G. Strang, " Linear Algebra and its Applications", 4th edition, Brooks-Cole, 2005, (ISBN 978-0-0301-0567-8)