Further results on periodically time-varying behavioral systems

José Carlos Aleixo; Jan W. Polderman; Paula Rocha

doi:10.1109/CDC.2005.1582256

Further results on periodically time-varying behavioral systems

José Carlos Aleixo, Jan W. Polderman, Paula Rocha

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

2 Citations (Scopus)

9 Downloads (Pure)

Abstract

We consider periodic behavioral systems as introduced in [1] and analyze two main issues: behavior representation and controllability. More concretely we study the equivalence and the minimality of representations. Moreover we relate the controllability of a periodic system with the controllability of an associated time-invariant system known as lifted system, and derive a controllability test. Finally we prove the existence of an autonomous/controllable decomposition similar to what happens for the time-invariant case.

Original language	English
Title of host publication	Proceedings 44th IEEE Conference on Decision and Control and European Control Conference ECC'05, Seville, Spain
Place of Publication	Seville
Publisher	IEEE
Pages	808-813
Number of pages	6
ISBN (Print)	0-7803-9568-9
DOIs	https://doi.org/10.1109/CDC.2005.1582256
Publication status	Published - 2005
Event	44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005 - Melia Seville, Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005 Conference number: 44

Publication series

Name
Publisher	IEEE

Conference

Conference	44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005
Abbreviated title	CDC-ECC
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Keywords

METIS-226724
IR-95956

Access to Document

10.1109/CDC.2005.1582256

Cite this

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title = "Further results on periodically time-varying behavioral systems",

abstract = "We consider periodic behavioral systems as introduced in [1] and analyze two main issues: behavior representation and controllability. More concretely we study the equivalence and the minimality of representations. Moreover we relate the controllability of a periodic system with the controllability of an associated time-invariant system known as lifted system, and derive a controllability test. Finally we prove the existence of an autonomous/controllable decomposition similar to what happens for the time-invariant case.",

keywords = "METIS-226724, IR-95956",

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

year = "2005",

doi = "10.1109/CDC.2005.1582256",

language = "English",

isbn = "0-7803-9568-9",

publisher = "IEEE",

pages = "808--813",

booktitle = "Proceedings 44th IEEE Conference on Decision and Control and European Control Conference ECC'05, Seville, Spain",

address = "United States",

note = "44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005, CDC-ECC ; Conference date: 12-12-2005 Through 15-12-2005",

}

Aleixo, JC, Polderman, JW & Rocha, P 2005, Further results on periodically time-varying behavioral systems. in Proceedings 44th IEEE Conference on Decision and Control and European Control Conference ECC'05, Seville, Spain. IEEE, Seville, pp. 808-813, 44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582256

Further results on periodically time-varying behavioral systems. / Aleixo, José Carlos; Polderman, Jan W.; Rocha, Paula.
Proceedings 44th IEEE Conference on Decision and Control and European Control Conference ECC'05, Seville, Spain. Seville: IEEE, 2005. p. 808-813.

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

TY - GEN

T1 - Further results on periodically time-varying behavioral systems

AU - Aleixo, José Carlos

AU - Polderman, Jan W.

AU - Rocha, Paula

N1 - Conference code: 44

PY - 2005

Y1 - 2005

N2 - We consider periodic behavioral systems as introduced in [1] and analyze two main issues: behavior representation and controllability. More concretely we study the equivalence and the minimality of representations. Moreover we relate the controllability of a periodic system with the controllability of an associated time-invariant system known as lifted system, and derive a controllability test. Finally we prove the existence of an autonomous/controllable decomposition similar to what happens for the time-invariant case.

AB - We consider periodic behavioral systems as introduced in [1] and analyze two main issues: behavior representation and controllability. More concretely we study the equivalence and the minimality of representations. Moreover we relate the controllability of a periodic system with the controllability of an associated time-invariant system known as lifted system, and derive a controllability test. Finally we prove the existence of an autonomous/controllable decomposition similar to what happens for the time-invariant case.

KW - METIS-226724

KW - IR-95956

U2 - 10.1109/CDC.2005.1582256

DO - 10.1109/CDC.2005.1582256

M3 - Conference contribution

SN - 0-7803-9568-9

SP - 808

EP - 813

BT - Proceedings 44th IEEE Conference on Decision and Control and European Control Conference ECC'05, Seville, Spain

PB - IEEE

CY - Seville

T2 - 44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005

Y2 - 12 December 2005 through 15 December 2005

ER -

Further results on periodically time-varying behavioral systems

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Keywords

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