@Article{Ishibashi2026,
author = "Ishibashi, Kazuki",
title = "Wintner-type asymptotic behavior of linear differential systems with a proportional derivative controller",
journal = "Opuscula Math.",
year = "2026",
volume = "46",
number = "1",
pages = "41--54",
doi = "https://doi.org/10.7494/OpMath.202512101",
url = "https://doi.org/10.7494/OpMath.202512101",
abstract = "This study investigated the asymptotic behavior of linear differential systems incorporating a proportional derivative-type (PD) differential operator. Building on the classical asymptotic convergence property of Wintner, a generalized Wintner-type asymptotic result was established for such systems. The proposed framework encompasses a wide class of time-varying coefficient matrices and extends classical asymptotic theory to equations governed by PD operators. An illustrative example is presented to demonstrate the applicability of the proposed theorem.",
keywords = "Wintner-type, asymptotic behavior, linear differential systems, proportional-derivative controller",
issn = "1232-9274"
}