112 citations · 274 across the 13 of their papers we have counts for
13 papers
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…
Modeling and semigroup formulation of charge or current-controlled active constrained layer (ACL) beams; electrostatic, quasi-static, and fully-dynamic assumptions
Ahmet Ozkan Ozer
A three-layer active constrained layer (ACL) beam model, consisting of a piezoelectric elastic layer, a stiff layer, and a constrained viscoelastic layer, is obtained for cantileve…
Modeling and controlling an active constrained layer (ACL) beam actuated by two voltage sources with/without magnetic effects
Ahmet Ozkan Ozer
A fully dynamic three-layer active constrained layer (ACL) beam is modeled for cantilevered boundary conditions by using a thorough variational approach. The Rao-Nakra thin complia…
Output Control of Smart Beams under Uncertain Dynamic Loads through Non-Collocated Sensors and Actuators
M. A. Pinsky, A. O. Ozer
A problem of vibration control of smart beams was addressed in various publications which primarily utilize collocated sensors and actuators and neglect the effect of measurement n…
Modeling an elastic beam with piezoelectric patches by including magnetic effects
A. O. Ozer, K. A. Morris
Models for piezoelectric beams using Euler-Bernoulli small displacement theory predict the dynamics of slender beams at the low frequency accurately but are insufficient for beams…
Exact boundary controllability results for a multilayer Rao-Nakra sandwich beam
A. Ozkan Ozer, Scott W. Hansen
We study the boundary controllability problem for a multilayer Rao-Nakra sandwich beam. This beam model consists of a Rayleigh beam coupled with a number of wave equations. We cons…
Modeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects
K. A. Morris, A. O. Ozer
Models for piezoelectric beams and structures with piezoelectric patches generally ignore magnetic effects. This is because the magnetic energy has a relatively small effect on the…
Further stabilization results for voltage-actuated piezoelectric beams with magnetic effects
Ahmet Ozkan Ozer
It is well known that magnetic energy of the piezoelectric beam is relatively small, and it does not change the overall dynamics. Therefore, the models, relying on electrostatic or…