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

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

17 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
Externally published	Yes

Keywords

Dissipativity
Hamiltonian systems
Linear periodic systems

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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.}",

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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

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U2 - 10.1109/TAC.2007.899013

DO - 10.1109/TAC.2007.899013

M3 - Article

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SP - 1039

EP - 1047

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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ER -

Dissipativity of T-periodic linear systems

Abstract

Keywords

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