ME/SE/EC 501

Dynamic Systems Theory — State-space linear systems

Professors John Baillieul and Theodore E. Djaferis


First exam: Monday, October 23, 8:00 - 9:00 in two Photonics Building classrooms: Section A1 in PHO 201; Section A2 in PHO 203.

Course Syllabus html or pdf.

Course Lecture Notes.

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, Finite Dimensional Linear Systems, John Wiley and Sons, ISBN 471 10585 6, 256 pages.

References on linear algebra:

Linear Optimal Control Systems by H. Kwakernaak and R. Sivan
  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

Lecture on the Resolvent


Exercises and solutions.

1. Exercise Set 1.
    Solution Set 1.
2. Exercise Set 2.
    Solution Set 2.
3. Exercise Set 3.
    Solution Set 3.
4. Exercise Set 4.
    Solution Set 4.

(Updated October, 2017)