ME/SE/EC 501

Dynamic Systems Theory — State-space linear systems

Professor John Baillieul

Fall 2021 — Apparently back to fully populated classroom instruction

Classroom: PHO 210

   For the Fall semester 2020, EC/ME/SE 501 was conducted entirely online with lectures given via Zoom. Boston University announced a plan to repopulate the campus on June 2. Although the pandemic has changed a great deal since June, B.U.'s plan to reopen has not changed very much. Part of the plan stated that "currently, there are no distancing requirements on campus." See B.U.'s Plan. Matters being so, for everyones safety and in compliance with city and town ordinances in Boston and Brookline, facial coverings will be mandatory in all class lectures.

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.

Visit in the Fall of 2022 for the next problem sets.

(Updated March, 2022)