#
EECS 221A

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

E-mail: *sastry@eecs.berkeley.edu*

##
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

E-mail: *onureena@eecs.berkeley.edu*

## 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

###

**MIDTERM EXAM**

Tuesday October 18th, 2005

9:30 - 11:00 AM

**FINAL EXAM**

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