Linear System Theory
Fall 2005

This course provides an introduction to the modern state space theory of linear systems for students of circuits, communications, controls and signal processing. In some sense it is a second course in linear systems, since it builds on an understanding that students have seen linear systems in use in at least some context before. The course is on the one hand quite classical and develops some rather well developed material, but on the other hand is quite modern and topical in that it provides a sense of the new vistas in embedded systems, computer vision, hybrid systems and other current areas of strong research activity.
The outline of the course is available here in both PDF format or in HTML format.

Important Notice

The official departmental home page for the class with scanned versions of the lecture notes and the discussion section notes and all the information contained on this home page is here .

Instructor: Prof. S. Shankar Sastry
Lecture: Tu Th 9:30 - 11 am. 106 MOffitt
Office Hours: M 2-3 pm., W 3-4 pm. in 284 Hearst Memorial Mining Building or by appointment 
Tel: (510) 642-1857

Teaching Assistant: Ms. Onureena Banerjee
Section: Th 12:30 - 2:00 pm,106 Moffitt Library  
Office Hours: Tu 8:30 - 9:30 am, F 10-12 am. in 297 Cory Hall or by appointment in her office 262 M Cory Hall
Tel: (510) 642 7153

Homework Sets

  • Problem Set 1 Due in Section Friday September 9th. In light of changes in the section timing to Th 12:30 -2 the due date is changed to Tuesday September 13th in class.

    Bug on Problem 4, Left hand inequality on Sylvester's inequality should read
    Rank B - dim { N(A)}
    Bug on Problem 6 part (a): the transfer function in the 1,1 entry should be G_1 (I+ G_2 G_1)^{-1} and the transfer function in the 2,2 entry should be G_2 (I + G_1 G_2)^{-1}. By the way for these feedback loops a pnemonic for remembering when the formulas are correct is to note that G_1 and G_2 alternate in the formulas.

  • Problem Set 2 Due in Section Thursday September 22nd.

    Bug on Problem 5, the equation should read A v_k = \lambda v_k + v_{k-1} k =2, ..., n

  • Problem Set 3 Due in Class October 4th, 2005.

    Bug in Problem 1, equation for theta double dot, the first term has a missing term r dot.

  • Problem Set 4 Due in Section October 13th, 2005.

  • Prior Year EECS221A Class Archives

  • Fall 2001 Instructors: Sastry and Sinopoli
  • Fall 2002 Instructors: El Ghaoui and Eirea
  • Fall 2003 Instructors: Sastry, Poola and Nilim
  • Fall 2004 Instructors: Sanders and Banerjee

  • Exam Schedule

    Tuesday October 18th, 2005
    9:30 - 11:00 AM

    Thursday, December 15, 2005
    8 - 11 AM

    Note: The exams are both closed book, with one 8.5 X 11 in. crib sheet allowed.

    Last change: Sept 11, 2005