Controllability, autonomicity and free variables in periodic behaviors

José Carlos Aleixo; Jan W. Polderman; Paula Rocha

Controllability, autonomicity and free variables in periodic behaviors

José Carlos Aleixo
, Jan W. Polderman
, Paula Rocha

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

83 Downloads (Pure)

Abstract

In this paper we propose a new type of "image" representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the correspondence which exists in the time invariant case, generalizes to periodic behaviors. We also show that the concept of free variable used in the time-invariant case cannot be transposed 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	Undefined
Title of host publication	Proceedings of the Seventeenth International Symposium of Mathematical Theory of Networks and Systems
Editors	Y Yamamoto
Place of Publication	Kyoto
Publisher	BioPro Baden-Wuertenberg GmbH
Pages	2513-2523
Number of pages	11
ISBN (Print)	not assigned
Publication status	Published - Jul 2006
Event	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan Duration: 24 Jul 2006 → 28 Jul 2006 Conference number: 17

Publication series

Name
Number	supplement

Conference

Conference	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
Abbreviated title	MTNS
Country/Territory	Japan
City	Kyoto
Period	24/07/06 → 28/07/06

Keywords

MSC-93C05
METIS-237629
EWI-8196
IR-66621

Access to Document

http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf

Cite this

@inproceedings{a52c7cc63da845d9af9a48712163911e,

title = "Controllability, autonomicity and free variables in periodic behaviors",

abstract = "In this paper we propose a new type of {"}image{"} representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the correspondence which exists in the time invariant case, generalizes to periodic behaviors. We also show that the concept of free variable used in the time-invariant case cannot be transposed 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.",

keywords = "MSC-93C05, METIS-237629, EWI-8196, IR-66621",

author = "Aleixo, \{Jos{\'e} Carlos\} and Polderman, \{Jan W.\} and Paula Rocha",

year = "2006",

month = jul,

language = "Undefined",

isbn = "not assigned",

publisher = "BioPro Baden-Wuertenberg GmbH",

number = "supplement",

pages = "2513--2523",

editor = "Y Yamamoto",

booktitle = "Proceedings of the Seventeenth International Symposium of Mathematical Theory of Networks and Systems",

note = "17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 ; Conference date: 24-07-2006 Through 28-07-2006",

}

Aleixo, JC, Polderman, JW & Rocha, P 2006, Controllability, autonomicity and free variables in periodic behaviors. in Y Yamamoto (ed.), Proceedings of the Seventeenth International Symposium of Mathematical Theory of Networks and Systems. BioPro Baden-Wuertenberg GmbH, Kyoto, pp. 2513-2523, 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006, Kyoto, Japan, 24/07/06. <http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf>

Controllability, autonomicity and free variables in periodic behaviors. / Aleixo, José Carlos; Polderman, Jan W.; Rocha, Paula.
Proceedings of the Seventeenth International Symposium of Mathematical Theory of Networks and Systems. ed. / Y Yamamoto. Kyoto: BioPro Baden-Wuertenberg GmbH, 2006. p. 2513-2523.

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

TY - GEN

T1 - Controllability, autonomicity and free variables in periodic behaviors

AU - Aleixo, José Carlos

AU - Polderman, Jan W.

AU - Rocha, Paula

N1 - Conference code: 17

PY - 2006/7

Y1 - 2006/7

N2 - In this paper we propose a new type of "image" representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the correspondence which exists in the time invariant case, generalizes to periodic behaviors. We also show that the concept of free variable used in the time-invariant case cannot be transposed 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 propose a new type of "image" representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the correspondence which exists in the time invariant case, generalizes to periodic behaviors. We also show that the concept of free variable used in the time-invariant case cannot be transposed 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 - MSC-93C05

KW - METIS-237629

KW - EWI-8196

KW - IR-66621

M3 - Conference contribution

SN - not assigned

SP - 2513

EP - 2523

BT - Proceedings of the Seventeenth International Symposium of Mathematical Theory of Networks and Systems

A2 - Yamamoto, Y

PB - BioPro Baden-Wuertenberg GmbH

CY - Kyoto

T2 - 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006

Y2 - 24 July 2006 through 28 July 2006

ER -