@article{56a60613dd82426a94490bfe63b39588,
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}",
note = "Publisher Copyright: {\textcopyright} 2021 American Institute of Mathematical Sciences. All rights reserved.",
year = "2021",
month = apr,
doi = "10.3934/dcdsb.2020358",
language = "English",
volume = "26",
pages = "2025--2035",
journal = "Discrete and Continuous Dynamical Systems - Series B",
issn = "1531-3492",
publisher = "Southwest Missouri State University",
number = "4",
}