ECE1619H Linear Geometric Control Theory (Last updated January 20, 2015)


Prof. M.E. Broucke GB434A broucke (at)

Lecture Schedule

Lecture Section Day and Time Location Start Date
Lecture 1 Monday 15-17:30pm Bahen Building, BA3014 January 12


Course notes will be distributed to registered students. In addition the following three references may be helpful. The course covers roughly the first seven chapters of the book by Wonham.

Course Outline

Here is a nominal timetable of lecture topics. This schedule may be updated as the semester progresses.

Date Lecture Topics
Jan 12 1 Introduction, linear systems, subspaces, linear equations
Jan 19 2 Quotient spaces, projection maps, induced maps
Jan 26 3 Minimal polynomial, modal subspaces
Feb 2 4 Controllability, stabilizability
Feb 9 5 Observability, observers
Feb 16   Reading Week
Feb 23 6 Stabilization by measurement feedback
Mar 2 7 Controlled invariant subspaces
Mar 9 8 Computation
Mar 16 9 Output stabilization, disturbance decoupling
Mar 23 10 Restricted regulator problem
Mar 30 11 Controllability subspaces, controllability indices
Apr 6 12 Disturbance decoupling with stability
Apr 20 13 Final Project Presentations, time TBA

Important Dates

Title Issued Due
Homework 1 January 19 February 2
Homework 2 February 2 February 23
Homework 3 March 2 March 16
Homework 4 March 16 March 30
Final Project Report March 23 April 20
Final Project Presentation March 23 April 20, time TBA


There are three types of projects, listed below. Students may also propose their own project.


Homework 50%
Final Project Report 40%
Final Project Presentation 10%