A contribution to the study of periodic systems in the behavioral approach

José Carlos Aleixo; Jan Willem Polderman; Paula Rocha

doi:10.1002/9780470612217.ch2

A contribution to the study of periodic systems in the behavioral approach

José Carlos Aleixo, Jan Willem Polderman, Paula Rocha

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

1 Citation (Scopus)

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Abstract

In this paper we obtain new results on periodic kernel representations and propose a definition of “image" representation for periodic behaviors. Further, we characterize controllability and autonomicity in representation terms. We also show that the concept of free variable used in the time-invariant case cannot be carried over to the periodic case in a straightforward manner and introduce a new concept of variable freeness (P-periodic freeness). This allows us to define input/output structures for periodic behaviors.

Original language	English
Title of host publication	Taming Heterogeneity and Complexity of Embedded Control
Editors	Françoise Lamnabhi-lagarrigue, Salah Laghrouche, Antonio Loria, Elena Panteley
Publisher	International Society for Technology in Education
Chapter	2
Pages	23-38
Number of pages	16
ISBN (Electronic)	978-0-47061-221-7
ISBN (Print)	978-1-90520-965-1
DOIs	https://doi.org/10.1002/9780470612217.ch2
Publication status	Published - Jan 2007

Keywords

Periodic systems
Behaviors
Representations

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10.1002/9780470612217.ch2

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A contribution to the study of periodic systems in the behavioral approach. / Aleixo, José Carlos; Polderman, Jan Willem; Rocha, Paula.
Taming Heterogeneity and Complexity of Embedded Control. ed. / Françoise Lamnabhi-lagarrigue; Salah Laghrouche; Antonio Loria; Elena Panteley. International Society for Technology in Education, 2007. p. 23-38.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - A contribution to the study of periodic systems in the behavioral approach

AU - Aleixo, José Carlos

AU - Polderman, Jan Willem

AU - Rocha, Paula

PY - 2007/1

Y1 - 2007/1

N2 - In this paper we obtain new results on periodic kernel representations and propose a definition of “image" representation for periodic behaviors. Further, we characterize controllability and autonomicity in representation terms. We also show that the concept of free variable used in the time-invariant case cannot be carried over to the periodic case in a straightforward manner and introduce a new concept of variable freeness (P-periodic freeness). This allows us to define input/output structures for periodic behaviors.

AB - In this paper we obtain new results on periodic kernel representations and propose a definition of “image" representation for periodic behaviors. Further, we characterize controllability and autonomicity in representation terms. We also show that the concept of free variable used in the time-invariant case cannot be carried over to the periodic case in a straightforward manner and introduce a new concept of variable freeness (P-periodic freeness). This allows us to define input/output structures for periodic behaviors.

KW - Periodic systems

KW - Behaviors

KW - Representations

U2 - 10.1002/9780470612217.ch2

DO - 10.1002/9780470612217.ch2

M3 - Chapter

SN - 978-1-90520-965-1

SP - 23

EP - 38

BT - Taming Heterogeneity and Complexity of Embedded Control

A2 - Lamnabhi-lagarrigue, Françoise

A2 - Laghrouche, Salah

A2 - Loria, Antonio

A2 - Panteley, Elena

PB - International Society for Technology in Education

ER -

A contribution to the study of periodic systems in the behavioral approach

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Keywords

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