Anzeige
Erschienen in:
2008 | OriginalPaper | Buchkapitel
Introduction
verfasst von : Yasumichi Hasegawa
Erschienen in: Approximate and Noisy Realization of Discrete-Time Dynamical Systems
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The approximate and noisy realization problems for discrete-time dynamical systems that we will state here can be stated as the following two problems
$\textcircled{A}$
and
$\textcircled{B}$
. The following notations are used in the problem description.
I
/
O
is the set of input/output maps which are partial data of given observed objects.
DS
is the category of mathematical models with a behavior which is an input/output relation.
$\textcircled{A}$
Approximate realization problem.
For any input/output map
a
∈
I
/
O
without noise, find one mathematical model
σ
∈
DS
such that its behavior is approximately equal to the input/output map
a
and has a lower dimension than the given minimal state space of a dynamical system which has the behavior
a
.
$\textcircled{B}$
Noisy realization problem.
For any input/output map
a
∈
I
/
O
which includes noises in output, find one mathematical model
σ
∈
DS
which has the same behavior as the given
a
.