• Title/Summary/Keyword: generalized eigenspace

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REMARK ON THE CONTROLLABILITY FOR SEMILINEAR EVOLUTION EQUATIONS

  • Jeong, Jin-Mun
    • East Asian mathematical journal
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    • v.29 no.5
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    • pp.481-489
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    • 2013
  • In this paper we deal with approximate controllability for semilinear system in a Hilbert space. In order to obtain the controllability, we assume that the system of the generalized eigenspaces of the principal operator is complete in the state space, which has a simple form and can be applied to many examples. Because of its simple form, some examples of controllability of the systems governed by the semilinear equations will be given.

A Change Point Detection of EEG Signal Based on the Eigenspace (고유 공간을 이용한 EEG의 특성 변화점 검출)

  • Kim, Ki-M.;Yoo, Sun-K.;Kim, Sun-H.;Song, Jae-S.;Kim, Nam-H.
    • Proceedings of the KOSOMBE Conference
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    • v.1995 no.11
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    • pp.117-120
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    • 1995
  • The electronencephalogram (EEG) is a complex electrical signal which reflects generalized brain activity. The EEG is utilized in the clinical assesment of many neurological and psychiatric disorders and offers promise for monitoring of patients undergoing operation. This paper describes a technique for quantitative analysis of EEG signals which is based on an eigenspace. Examples of the application approach to simulated and clinical EEG data illustrate the capabilities.

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