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Dissipativity of T-Periodic Linear Systems

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Date

2007

Authors

Yakubovich, Vladimir
Fradkov, Alexander
Hill, David
Proskurnikov, Anton

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

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.

Description

Keywords

Keywords: Control theory; Hamiltonians; Time varying control systems; Dissipativity; Linear periodic system; Linear control systems Dissipativity; Hamiltonian systems; Linear periodic systems

Citation

URI

http://hdl.handle.net/1885/26233

Collections

ANU Research Publications

Source

IEEE Transactions on Automatic Control

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/TAC.2007.899013

Restricted until

2037-12-31

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01_Yakubovich_Dissipativity_of_T-Periodic_2007.pdf (554.53 KB)

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