Dr. E. A. Jonckheere
THH 208; Wednesday, March 09, 2011; 5:00 p.m.-6:20 p.m.
Name (LAST, rst, middle):
For obvious privacy reasons, it is against University policy to ask your SSN as extra
ID, but PLEASE WRI
When Can Policy Makers Anchor Expectations?
Dynamic controllability and the limits to time inconsistency*
Andrew Hughes Hallett
George Mason University, University of St Andrews and CEPR
Giovanni Di Bartolomeo
University of Teramo
EE 585, Controllability Homework
Due Wednesday April 04, 2012
1) Go to the text by Hespanha, and do Problems 12.2 and 12.3 page 117, and
Problem 14.3 page 130.
2) Look at the paper, controllability_of_economy, which has been posted on the
blackboard. In t
LINEAR SYSTEMS THEORY
Edmond A. Jonckheere
University of Southern California
Department of Electrical EngineeringSystems
Los Angeles, CA 90089-2563
The purpose of this cours
EE 585 Linear System Theory
Instructor: Fariba Ariaei
Homework #1 Solutions
1) Chen, Problem 3.2.
x1 1 2 3 1 6
2 3 1
max 2 3 1 3
x2 1 1 1 1 3
1 1 1
planar spiral inductor data for ee263
data for 50 inductors
n is the number of turns
w is the wire width (microm)
d is the inner diameter (microm)
D is the outer diameter (microm)
L is the measured inductance (nH)
= [ 3.7500
% ee263 layout viewer
% plots your layout, asuming A is constructed
% using the free nodes before the fixed ones
% xfree,yfree and xfixed,yfixed are colum vectors
% the function returns the total square
A field is any set of elements that satisfies the field properties for both addition and
Field properties: If
Because the identity co
A Linear System (or a system of linear equations) is a collection of one or more
linear equations involving the same set of variables, x1, x2, , xn.
A system of linear equations:
In matrix-vector form, we have
The recursive least-squares is used when we have a growing sets of measurements (some
may not even be available at the time of calculation)
Recall that we want to minimize
Using row operation, we have
is the th column of matr
The rank of matrix , denoted by
independent columns in the matrix.
The nullity of matrix A, denoted by
, is defined as
i.e., the rank is also equal to the maximum number of linearly
=[AB ( 1 A+ A 2 )B - 3 B]
controllable from ft if X=0 or (KX +Q)=0.
rank(Mc) < 4 => system is not completely controllable from (it, ft).
rank(Mc1) < 4 => System is not compl