TY  - JOUR
ID  - Ishibashi2026
LB  - Ishibashi2026
AU  - Ishibashi, Kazuki
TI  - Wintner-type asymptotic behavior of linear differential systems with a proportional derivative controller
ST  - Wintner-type asymptotic behavior of linear differential systems with a proportional derivative controller
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2026
VL  - 46
IS  - 1
SP  - 41
EP  - 54
DO  - https://doi.org/10.7494/OpMath.202512101
UR  - https://doi.org/10.7494/OpMath.202512101
AB  - 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.
KW  - Wintner-type
KW  - asymptotic behavior
KW  - linear differential systems
KW  - proportional-derivative controller
SN  - 1232-9274
ER  -