A perturbation approach to the H 2 analysis of spatially periodic systems

Makan Fardad; Bassam Bamieh

A perturbation approach to the H ² analysis of spatially periodic systems

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

Abstract

We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the H ²-norm. The dependence of the H ²-norm on the amplitude and frequency of the periodic coefficients is demonstrated.

Original language	English (US)
Article number	FrC09.2
Pages (from-to)	4838-4843
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	7
State	Published - 2005
Externally published	Yes
Event	2005 American Control Conference, ACC - Portland, OR, United States Duration: Jun 8 2005 → Jun 10 2005

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "A perturbation approach to the H 2 analysis of spatially periodic systems",

abstract = "We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the H 2-norm. The dependence of the H 2-norm on the amplitude and frequency of the periodic coefficients is demonstrated.",

author = "Makan Fardad and Bassam Bamieh",

year = "2005",

language = "English (US)",

volume = "7",

pages = "4838--4843",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

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

note = "2005 American Control Conference, ACC ; Conference date: 08-06-2005 Through 10-06-2005",

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AU - Fardad, Makan

AU - Bamieh, Bassam

PY - 2005

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N2 - We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the H 2-norm. The dependence of the H 2-norm on the amplitude and frequency of the periodic coefficients is demonstrated.

AB - We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the H 2-norm. The dependence of the H 2-norm on the amplitude and frequency of the periodic coefficients is demonstrated.

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M3 - Conference Article

AN - SCOPUS:23944482367

SN - 0743-1619

VL - 7

SP - 4838

EP - 4843

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

M1 - FrC09.2

T2 - 2005 American Control Conference, ACC

Y2 - 8 June 2005 through 10 June 2005

ER -

A perturbation approach to the H ² analysis of spatially periodic systems

Abstract

ASJC Scopus subject areas

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