On the nearest stable 2 x 2 matrix, dedicated to prof. sze-bi hsu in appreciation of his inspiring ideas

Yueh Cheng Kuo; Huan Chang Cheng; Jhih You Syu; Shih Feng Shieh

doi:10.3934/dcdsb.2020358

On the nearest stable 2 x 2 matrix, dedicated to prof. sze-bi hsu in appreciation of his inspiring ideas

Yueh Cheng Kuo
, Huan Chang Cheng
, Jhih You Syu
, Shih Feng Shieh^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In this paper, we study the continuous-time nearest stable matrixproblem: Given a 2x2 real matrix A, minimize the Frobenius norm of A-X, where X is a stable matrix. We provide an explicit formula for the global minimizer X*. The uniqueness of the minimizer is also studied.

原文	英語
頁（從 - 到）	2025-2035
頁數	11
期刊	Discrete and Continuous Dynamical Systems - Series B
卷	26
發行號	4
DOIs	https://doi.org/10.3934/dcdsb.2020358
出版狀態	已發佈 - 2021 4月

ASJC Scopus subject areas

離散數學和組合
應用數學

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10.3934/dcdsb.2020358

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title = "On the nearest stable 2 x 2 matrix, dedicated to prof. sze-bi hsu in appreciation of his inspiring ideas",

abstract = "In this paper, we study the continuous-time nearest stable matrixproblem: Given a 2x2 real matrix A, minimize the Frobenius norm of A-X, where X is a stable matrix. We provide an explicit formula for the global minimizer X*. The uniqueness of the minimizer is also studied.",

keywords = "Global minimizer, Linear continuous-time systems, Matrix approximation, Stability ra- dius",

author = "Kuo, \{Yueh Cheng\} and Cheng, \{Huan Chang\} and Syu, \{Jhih You\} and Shieh, \{Shih Feng\}",

year = "2021",

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doi = "10.3934/dcdsb.2020358",

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AU - Shieh, Shih Feng

PY - 2021/4

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KW - Global minimizer

KW - Linear continuous-time systems

KW - Matrix approximation

KW - Stability ra- dius

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On the nearest stable 2 x 2 matrix, dedicated to prof. sze-bi hsu in appreciation of his inspiring ideas

摘要

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