Department of Electrical and Computer Engineering

ECE 717: Linear Systems

Fall Semester 2009


Instructor: Prof. Dan Cobb
Office: 3621 Engineering Hall
Email: cobb@engr.wisc.edu
Office Hours: 4:00 TR (Email or see me after class.)

Lecture: 2:30-3:45 TR, 3534 EH
Text: Linear System Theory and Design, C.-T. Chen, Oxford University Press, 1999.
Homework: 6 assignments
Grading: Midterm Exam - 35%, Final Exam (Cumulative) - 45%, Homework - 20%


MIDTERM EXAM Solutions
FINAL EXAM: Sunday, December 20, 10:05 AM


HOMEWORK
Assignment #1 Solutions
Assignment #2 Solutions
Assignment #3 Solutions
Assignment #4
Assignment #5
Assignment #6

Old homework is available outside 3621 EH.


Topics

Week Beginning Pages Topics
1 Sep 7 1-16 introduction to state space systems
2 Sep 14 17-27, 44-53 linearization, vector spaces
3 Sep 21 53-64 Cayley-Hamilton theorem, functions of matrices
4 Sep 28 65-73, 86-93, 106-115 matrix exponential, solutions of state equations
5 Oct 5 94-96 diagonalization, system equivalence
6 Oct 12 59-61 generalized eigenvectors, Jordan form
7 Oct 19 class notes companion form, norms
8 Oct 26 130-131, 137-139 asymptotic stability, subspaces
9 Nov 2 class notes Lyapunov stability, phase portraits
10 Nov 9 121-126 BIBO stability
11 Nov 16 143-152 controllability
12 Nov 23 153-162 observability
13 Nov 30 163-164, 231-239, 255-256 duality, Kalman decomposition, state feedback
14 Dec 7 248-250 stabilizability, detectability, observers
15 Dec 14 253-255, 265-266 separation principle, reduced-order observers