National Instruments NI MATRIXx Xmath - Manual (Page 126)

Index
Xmath Model Reduction Module I-2 ni.com
G
grammians
controllability, 1-7
description of, 1-7
observability, 1-7
H
Hankel matrix, 1-9
Hankel norm approximation, 2-6
Hankel singular values, 1-8, 3-9, 5-1
hankelsv, 1-5, 5-1
algorithm, multipass, 2-20
help, technical support, B-1
I
instrument drivers (NI resources), B-1
internal balancing, 1-10
K
KnowledgeBase, B-1
L
lmax(A), 1-6
lyapunov, 1-8
M
MATRIXx Help, 1-3
minimality requirements, 1-5
model reduction, schur, 2-5
Moore-Penrose pseudo-inverse, 1-6
mreduce, 1-5, 1-13, 2-10
mulhank, 1-5, 1-14, 3-14
multiplicative error, 1-1, 3-1
N
National Instruments support and
services, B-1
NI support and services, B-1
nomenclature, 1-2
nomenclature for MRM, 1-6
numerical conditioning, 2-8
O
ophank, 1-5, 2-14
discrete-time systems, 2-21
error formulas, 2-22
impulse response error, 2-22
multipass, 2-20
onepass, 2-18
unstable system approximation, 2-23
P
Padé approximation, 1-5
perturbation
of balanced realization, 2-5
singular, 1-11, 2-6
phase function, 3-5, 3-15
phase matrix, 3-6, 3-16
pole zero pairs in reduction, 2-4
programming examples (NI resources), B-1
R
redschur, 1-5, 2-4, 2-12
reduced order system, 2-3
Reli(A), 1-6
S
singular perturbation, 1-11
skipChks, 6-3
software (NI resources), B-1