Polynomial Convergence of an Observer for an Infinite-Dimensional Oscillating System
This paper is devoted to analyzing the observer convergence rate for a class of linear control systems in a Hilbert space. To characterize the polynomial stability of the observer error system, we apply the spectral theory of linear operators and explicitly construct the resolvent of the correspondi...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
01.10.2024
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Subjects | |
Online Access | Get full text |
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Summary: | This paper is devoted to analyzing the observer convergence rate for a class
of linear control systems in a Hilbert space. To characterize the polynomial
stability of the observer error system, we apply the spectral theory of linear
operators and explicitly construct the resolvent of the corresponding
infinitesimal generator. The asymptotic behavior of the resolvent on the
imaginary axis is studied to describe the rate of decay of the observation
error. The estimated decay rate is illustrated through an example of an
oscillating flexible structure with one-dimensional output. |
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DOI: | 10.48550/arxiv.2410.00989 |