Eigenvalue assignment of an augmented hyperbolic system by linear feedback

B. M N Clarke

doi:10.1016/0022-247X(83)90206-8

Eigenvalue assignment of an augmented hyperbolic system by linear feedback

B. M N Clarke^*

^*Corresponding author for this work

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

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Abstract

A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.

Original language	English
Pages (from-to)	417-440
Number of pages	24
Journal	Journal of Mathematical Analysis and Applications
Volume	97
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(83)90206-8
Publication status	Published - 1983

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title = "Eigenvalue assignment of an augmented hyperbolic system by linear feedback",

abstract = "A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.",

author = "Clarke, {B. M N}",

year = "1983",

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AU - Clarke, B. M N

PY - 1983

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N2 - A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.

AB - A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.

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U2 - 10.1016/0022-247X(83)90206-8

DO - 10.1016/0022-247X(83)90206-8

M3 - Article

AN - SCOPUS:0020877271

SN - 0022-247X

VL - 97

SP - 417

EP - 440

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Eigenvalue assignment of an augmented hyperbolic system by linear feedback

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