Dissipativity of T-periodic linear systems

Vladimir A. Yakubovich; Alexander L. Fradkov; David J. Hill; Anton V. Proskurnikov

doi:10.1109/TAC.2007.899013

Dissipativity of T-periodic linear systems

Vladimir A. Yakubovich^*, Alexander L. Fradkov, David J. Hill, Anton V. Proskurnikov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.

Original language	English
Pages (from-to)	1039-1047
Number of pages	9
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2007.899013
Publication status	Published - Jun 2007

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10.1109/TAC.2007.899013

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title = "Dissipativity of T-periodic linear systems",

abstract = "It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.",

keywords = "Dissipativity, Hamiltonian systems, Linear periodic systems",

author = "Yakubovich, \{Vladimir A.\} and Fradkov, \{Alexander L.\} and Hill, \{David J.\} and Proskurnikov, \{Anton V.\}",

year = "2007",

month = jun,

doi = "10.1109/TAC.2007.899013",

language = "English",

volume = "52",

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journal = "IEEE Transactions on Automatic Control",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Dissipativity of T-periodic linear systems

AU - Yakubovich, Vladimir A.

AU - Fradkov, Alexander L.

AU - Hill, David J.

AU - Proskurnikov, Anton V.

PY - 2007/6

Y1 - 2007/6

N2 - It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.

AB - It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.

KW - Dissipativity

KW - Hamiltonian systems

KW - Linear periodic systems

UR - https://www.scopus.com/pages/publications/34447134778

U2 - 10.1109/TAC.2007.899013

DO - 10.1109/TAC.2007.899013

M3 - Article

SN - 0018-9286

VL - 52

SP - 1039

EP - 1047

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

ER -

Dissipativity of T-periodic linear systems

Abstract

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