Journal of Signal Processing
Online ISSN : 1880-1013
Print ISSN : 1342-6230
ISSN-L : 1342-6230
On Error Bounds for a Pseudo-Formal Linearization of Chebyshev Interpolation Type
Hitoshi TakataKazuo Komatsu
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2022 年 26 巻 2 号 p. 51-57

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This paper is concerned with the error bounds of a pseudo-formal linearization method based on Chebyshev interpolation for nonlinear dynamic systems. First, an error bound formula is derived for a functional approximation of this linearization, in which a min-max theory is well applied to it. Then, by using this formula, another error bound formula for nonlinear dynamic systems is nicely obtained. They are more specific formulas than the general error bounds of polynomials type. Numerical experiments demonstrate the usefulness of these formulas.

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© 2022 Research Institute of Signal Processing, Japan
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