On State-Space Representations of General Discrete-Time Dynamical Systems

On State-Space Representations of General Discrete-Time Dynamical Systems

In this article, we establish that every (deterministic) nonautonomous, discrete-time, causal, time invariant system has a state-space representation, and discuss its minimality.

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 67; no. 12; pp. 6975 - 6979
Main Authors: Rojas, Cristian R., Wachel, Pawel
Format: Journal Article
Language:English
Published: New York IEEE 01-12-2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Automata
Control systems
Control theory
Discrete time systems
Dynamical systems
Kalman filters
Linear systems
Nonlinear dynamical systems
State space models
state-space representation
system realization
Time invariant systems
Online Access:Get full text
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Description
Summary:In this article, we establish that every (deterministic) nonautonomous, discrete-time, causal, time invariant system has a state-space representation, and discuss its minimality.
ISSN:0018-9286
1558-2523
1558-2523
DOI:10.1109/TAC.2022.3173985