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Control And Optimization Seminar
Stochastic Chemostat Models: Modeling, Long-Time Behavior, Optimal Controls, And Applications To Waste
Nhu Ngoc Nguyen (University Of Connecticut)

Monday, April 5, 2021
2:00pm – 3:00pm

Other
online

Webex Meeting link: https://uconn-cmr.webex.com/uconn-cmr/j.php?MTID=m4ac5506f40e143f8b1eaa50c223e83af

Meeting number: 120 774 9789 Password: UConn

Abstract: In this talk, we consider the stochastic chemostat models. First, the system is formulated as a hybrid switching diffusion. Then, a complete characterization of the asymptotic behavior of the system is provided. The rate of convergence is also obtained. Moreover, we consider an application to wastewater treatment and numerical examples are given to illustrate our results. Next, controlled diffusions with a long-run average objective function are treated. The associated Hamilton–Jacobi–Bellman (HJB) equation is derived and the existence of an optimal Markov control is established. The techniques and methods of analysis in this paper can be applied to many other stochastic Kolmogorov systems. [This is joint work with Dang H. Nguyen and George Yin.]

Speaker's short bio: Nhu is currently a Ph.D. student in Applied Mathematics at the University of Connecticut (expected to graduate in 2022). He holds an MA in Mathematical Statistics from Wayne State University (2020) and a B.S in Mathematics from Vietnam National University of Science, VietNam (2015). Please visit his website for more information: https://sites.google.com/view/nhunnguyen/home

Contact:

Bin Zou, bin.zou@uconn.edu

Control and Optimization (primary), UConn Master Calendar

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