Example Calendar

This competitive juried exhibition showcases a selection
of work in a variety of media created by students in the
WKU Department of Art & Design.

The first step in your global learning journey! Our Go Global: First Steps advising sessions are here to walk you through:

• Understanding the benefits of partcipating in study abroad & other global learning opportunities
• Learning about program options and how to choose the right program for YOU
• Defining your global learning goals (academic, professional, and personal) and narrowing down programs to match those goals
• Navigating the study abroad process
• Starting your funding plan
• Connecting to more resources

Lunch & Learn Series: So You Want to Make a Podcast?

Title: Non-Collocated Observer Design and Boundary Output Feedback Stabilization for Magnetizable Piezoelectric Beam Model: Exponential Stability of the PDE Model and Uniform Exponential Stability of Its Finite-Difference Model

Abstract: This thesis presents a mathematical model for a magnetizable piezoelectric beam with free ends, described by partial differential equations (PDEs) that capture the complex interactions between longitudinal vibrations and charge dynamics. Moving beyond traditional collocated boundary control designs, the work proposes a non-collocated boundary controller and observer setup, facilitating state recovery and boundary output feedback control through observers positioned at opposite ends. The closed-loop system’s exponential stability, including both the observer and observer error dynamics, is rigorously established with an explicit decay rate, achieved using a carefully constructed Lyapunov function and the multipliers approach [1]. Additionally, the thesis develops a novel Finite Difference approximation using midpoints in uniform discretization and an average operator. This approximation retains exponential stability uniformly as the discretization parameter approaches zero. By employing a discretized Lyapunov function and discrete multipliers, the proof demonstrates that the decay rate is independent of the discretization parameter, ensuring that the Finite Difference approximation reflects the exponential stability properties of the original PDE model [2]. 

[1] A.O. Ozer, U. Rasaq, I. Khalilullah, "Boundary Output Feedback Stabilization for a Novel Magnetizable Piezoelectric Beam Model," 2024 American Control Conference (ACC) Proceedings, Toronto, ON, Canada, 2024, pp. 3448-3453, doi: 10.23919/ACC60939.2024.10644484

[2] U. Rasaq, A.O. Ozer, Uniform Exponential Stability in Finite-Difference Model Reduction for Magnetizable Piezoelectric Beams with Non-Collocated Observers, under revision.

The Hilltoppers open the 2024-25 regular season at home against Wichita State in a nationally televised game on CBS Sports Network.

Gameday promotion: WKU will celebrate the 2024 CUSA Champions.

For more about Hilltopper Basketball, visit https://wkusports.com/sports/mens-basketball