3 papers
math.OC2023
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…
math.AP2023
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…
math.NA2023
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…