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Friday, December 13, 2024

Posted September 4, 2024
Last modified December 10, 2024

Control and Optimization Seminar Questions or comments?

11:30 am – 12:20 pm Note the new seminar time. Zoom (click here to join)

María Soledad Aronna, Escola de Matematica Aplicada, Brazil
Control of Pest and Disease Dynamics

In this talk, we will discuss some models related to disease control. These models include the optimization of vaccination and testing strategies, as well as systems for biological control of insects and pests. We will demonstrate how optimal control theory and other associated tools aid in analyzing the systems and provide answers to practical questions.

Wednesday, January 22, 2025

Posted December 2, 2024

Harmonic Analysis Seminar

3:30 pm 232 Lockett

Chian Yeong Chuah, Ohio State University
TBA

Friday, January 24, 2025

Posted November 10, 2024

Control and Optimization Seminar Questions or comments?

11:30 am – 12:20 pm Zoom (click here to join)

Rushikesh Kamalapurkar, University of Florida
Operator Theoretic Methods for System Identification

Operator representations of dynamical systems on Banach spaces provide a wide array of modeling and analysis tools. In this talk, I will focus on dynamic mode decomposition (DMD). In particular, new results on provably convergent singular value decomposition (SVD) of total derivative operators corresponding to dynamic systems will be presented. In the SVD approach, dynamic systems are modeled as total derivative operators that operate on reproducing kernel Hilbert spaces (RKHSs). The resulting total derivative operators are shown to be compact provided the domain and the range RKHSs are selected carefully. Compactness is used to construct a novel sequence of finite rank operators that converges, in norm, to the total derivative operator. The finite rank operators are shown to admit SVDs that are easily computed given sample trajectories of the underlying dynamical system. Compactness is further exploited to show convergence of the singular values and the right and left singular functions of the finite rank operators to those of the total derivative operator. Finally, the convergent SVDs are utilized to construct estimates of the vector field that models the system. The estimated vector fields are shown to be provably convergent, uniformly on compact sets. Extensions to systems with control and to partially unknown systems are also discussed. This talk is based in part on joint works [RK23], [RK24], and [RRKJ24] with J.A. Rosenfeld.

Thursday, January 30, 2025

Posted December 5, 2024

Colloquium Questions or comments?

3:30 pm Lockett 232

Ken Ono, University of Virginia
TBD

Friday, January 31, 2025

Posted December 6, 2024

Control and Optimization Seminar Questions or comments?

11:30 am – 12:20 pm Zoom (click here to join)

Harbir Antil, George Mason University
Optimization and Digital Twins

Monday, February 3, 2025

Posted October 14, 2024