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

Makan Fardad, Bassam Bamieh

Research output: Contribution to journalConference Articlepeer-review

8 Scopus citations


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 languageEnglish (US)
Article numberFrC09.2
Pages (from-to)4838-4843
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 2005
Externally publishedYes
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: Jun 8 2005Jun 10 2005

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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