ME/SE/EC 501

Dynamic Systems Theory — State-space linear systems

Professor John Baillieul

Fall 2022 — Back to fully populated classroom instruction

Classroom: PHO 210

Course Syllabus html or pdf.

Course Lecture Notes.
Supplemental Material.

Course Text: Roger W. Brockett, Finite Dimensional Linear Systems SIAM, 2015 / xvi + 244 pages / Softcover / ISBN 978-1-611973-87-7. For student discount prices, order according to the instructions given here.

Previous course text: Bernard Friedland, Control System Design: An Introduction to State-Space Methods, McGraw-Hill, 1986. Reissued by Dover Books on Engineering, 528 pages, Dover Publications (March 24, 2005), ISBN-10: 0486442780, ISBN-13:978-0486442785.

Other readings available for download:

Roger W. Brockett, An Wang Professor of Electrical Engineering and Computer Science, Emeritus, Harvard University, Finite Dimensional Linear Systems, John Wiley and Sons, ISBN 471 10585 6, 256 pages (re-issue by SIAM available for purchase per above).

A.S. Morse, Dudley Professor of Electrical Engineering, Yale University, LECTURE NOTES on Linear Algebra, Linear Differential Equations, and Linear Systems.

H. Kwakernaak and R. Sivan, Linear Optimal Control Systems
  Content List and Front Matter Download
  Chapter 1. Elements of Linear System Theory Download
  Chapter 2. Analysis of Linear Control Systems Download
  Chapter 3. Optimal Linear State Feedback Control Systems Download
  Chapter 4. Optimal Linear Reconstruction of the State Download
  Chapter 5. Optimal Linear Output Feedback Control Systems Download
  Chapter 6. Linear Optimal Control Theory for Discrete-Time Systems Download
  References, Author Index and Subject Index Download

References on linear algebra:

Lecture on the Resolvent

Lecture on stabilization by state feedback in MIMO linear systems

Exercises and solutions.

The following Blackboard sites will be used for distributing homework sets and other course handouts.
The sites will also be used to collect homework. Be sure that you know how to create and upload pdf's.

EC 501:
ME 501:
SE 501:

1. Exercise Set 1.
    Solution Set 1.
2. Exercise Set 2.
Jordan normal form study questions here.
    Solution Set 2.
3. Exercise Set 3.
    Solution Set 3.
4. Exercise Set 4.
    Solution Set 4.
Hour Quiz solutions.
5. Exercise Set 5.
    Solution Set 5.
6. Exercise Set 6.
    Solution Set 6.
7. Exercise Set 7.
    Solution Set 7.

Download study questions for Quiz 2 by clicking here.

(Updated December, 2022)