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Chapter 1
Introduction
1-2
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•
Chapter 5,
, describes three utility functions:
hankelsv( )
,
stable( )
, and
compare( )
.
•
Chapter 6,
, illustrates a number of the MRM functions and
their underlying ideas.
Bibliographic References
Throughout this document, bibliographic references are cited with
bracketed entries. For example, a reference to [VODM1] corresponds
to a paper published by Van Overschee and De Moor. For a table of
bibliographic references, refer to Appendix A,
bracketed entries. For example, a reference to [VODM1] corresponds
to a paper published by Van Overschee and De Moor. For a table of
bibliographic references, refer to Appendix A,
.
Commonly Used Nomenclature
This manual uses the following general nomenclature:
•
Matrix variables are generally denoted with capital letters; vectors are
represented in lowercase.
represented in lowercase.
•
G(s) is used to denote a transfer function of a system where s is the
Laplace variable. G(q) is used when both continuous and discrete
systems are allowed.
Laplace variable. G(q) is used when both continuous and discrete
systems are allowed.
•
H(s) is used to denote the frequency response, over some range of
frequencies of a system where s is the Laplace variable. H(q) is used
to indicate that the system can be continuous or discrete.
frequencies of a system where s is the Laplace variable. H(q) is used
to indicate that the system can be continuous or discrete.
•
A single apostrophe following a matrix variable, for example, x’,
denotes the transpose of that variable. An asterisk following a matrix
variable, for example, A*, indicates the complex conjugate, or
Hermitian, transpose of that variable.
denotes the transpose of that variable. An asterisk following a matrix
variable, for example, A*, indicates the complex conjugate, or
Hermitian, transpose of that variable.
Conventions
This publication makes use of the following types of conventions: font,
format, symbol, mouse, and note. These conventions are detailed in
Chapter 2, MATRIXx Publications, Online Help, and Customer Support,
of the MATRIXx Getting Started Guide.
format, symbol, mouse, and note. These conventions are detailed in
Chapter 2, MATRIXx Publications, Online Help, and Customer Support,
of the MATRIXx Getting Started Guide.