ECE684 Spring 2009
March 18, 2009
1
Midterm Exam
Each student must calculate, document, and submit his or her own answers, corresponding to
the individual parameter set assigned by the instructor. Students may discuss the problems with
anyone, and may con
ECE684 Spring 2009
April 26, 2009
1
Final Exam (One Version)
Each student must calculate, document, and submit his or her own answers, corresponding to
the individual parameter set assigned by the instructor. Students may discuss the problems with
anyone,
ECE684 Spring 2009
December 15, 2009
1
Algorithms for solving the Algebraic Riccati Equation
Several algorithms from Petkov et al.1 were presented in lecture. Heres are basic versions of
some of the algorithms.
Notation
The Continuous-time Algebraic Ricca
ECE 602 Lumped Systems Theory
March 20, 2009
1
Some Notes on Generalized Eigenvectors
In lecture we discussed generalized eigenvalues and how to find them. At the top of page 60 the text1 states that the representation of the matrix A with respect to the
ECE684 Spring 2010
February 18, 2010
1
Theorem 2.2 of Wonhams Linear Multivariable Control
Consider the system
x(t) = Ax(t) + Bu(t),
t 0,
with linear state feedback
u(t) = F x(t) + v(t).
Notation
Let C = Cg Cb be a symmetric partition of C.
We can factor
ECE684 Spring 2009
March 22, 2009
1
Some Notes on Morphisms
On page 8 of the text, the author writes: Essential to any grasp of algebra is a command of Greek prexes. Lets look at the prexes used in the text to describe a map C : X Y . Recall that X is cal