Repository logo

Browsing by Subject "proportional-derivative controller"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Wintner-type asymptotic behavior of linear differential systems with a proportional derivative controller
    (Wydawnictwa AGH, 2026) Ishibashi, Kazuki
    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
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations
    (Wydawnictwa AGH, 2024) Ishibashi, Kazuki
    In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type nonoscillation theorem was established to be applied to such equations. Using this theorem, we provided a sharp nonoscillation condition that guarantees that all nontrivial solutions to Euler-type conformable linear equations do not oscillate. The main nonoscillation theorems can be proven by introducing a Riccati inequality, which corresponds to the conformable linear equation of the Sturm-Liouville type