112 citations · 274 across the 13 of their papers we have counts for
6 papers · 1 filter
The Exponential Stabilization of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers
Ahmet Ozkan Ozer, Ibrahim Khalilullah, Uthman Rasaq
This study investigates a strongly-coupled system of partial differential equations (PDE) governing heat transfer in a copper rod, longitudinal vibrations, and total charge accumul…
Boundary Output Feedback Stabilization for a Novel Magnetizable Piezoelectric Beam Model
Ahmet Ozkan Ozer, Uthman Rasaq, Ibrahim Khalilullah
A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propa…
Robust Model Reductions for the Boundary Feedback Stabilization of Magnetizable Piezoelectric Beams
Ahmet Kaan Aydin, Ahmet Ozkan Ozer, Jacob Walterman
Magnetizable piezoelectric beams exhibit strong couplings between mechanical, electric, and magnetic fields, significantly affecting their high-frequency vibrational behavior. Ensu…
Revisiting the Direct Fourier Filtering Technique for the Maximal Decay Rate of Boundary-damped Wave Equation by Finite Differences and Finite Elements
Ahmet Ozkan Ozer, Rafi Emran
The one-dimensional PDE model of the wave equation with a state feedback controller at its boundary, which describes wave dynamics of a wide-range of controlled mechanical systems,…
Exponential Stability and Design of Sensor Feedback Amplifiers for Fast Stabilization of Magnetizable Piezoelectric Beam Equations
Ahmet Ozkan Ozer, Ahmet Kaan Aydin, Rafi Emran
The dynamic partial differential equation (PDE) model governing longitudinal oscillations in magnetizable piezoelectric beams exhibits exponentially stable solutions when subjected…
Stability Results for Novel Serially-connected Magnetizable Piezoelectric and Elastic Smart-System Designs
Mohammad Akil, Serge Nicaise, Ahmet Özkan Özer +1
In this paper, the stability of longitudinal vibrations for transmission problems of two smart-system designs are studied: (i) a serially-connected Elastic-Piezoelectric-Elastic de…