5 papers
Two Strings with a Dynamic Interior Mass: A Feedback Control Design with Guaranteed Exponential Decay
Zoe Brown, Ahmet Ozkan Ozer
This paper investigates the exponential stabilization of a coupled two-string system joined by a dynamic interior mass. The combined effect of three feedback mechanisms, boundary d…
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 Ãzkan Ãzer +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…
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…