Calendar

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Friday, August 26, 2022

Posted August 8, 2022

Control and Optimization Seminar Questions or comments?

9:30 am - 10:20 am Zoom (Click “Questions or Comments?” to request a Zoom link)

Lorena Bociu, North Carolina State University PECASE Awardee
Analysis and Control in Poroelastic Systems with Applications to Biomedicine

Fluid flows through deformable porous media are relevant for many applications in biology, medicine and bio-engineering, including tissue perfusion, fluid flow inside cartilages and bones, and design of bioartificial organs. Mathematically, they are described by quasi-static nonlinear poroelastic systems, which are implicit, degenerate, coupled systems of partial differential equations (PDE) of mixed parabolic-elliptic type. We answer questions related to tissue biomechanics via well-posedness theory, sensitivity analysis, and optimal control for the poroelastic PDE coupled systems mentioned above. One application of particular interest is perfusion inside the eye and its connection to the development of neurodegenerative diseases.

Friday, October 7, 2022

Posted August 16, 2022

Control and Optimization Seminar Questions or comments?

9:30 am - 10:20 am Zoom (Click “Questions or Comments?” to request a Zoom link)

Matthew Peet, Arizona State University
TBA

Friday, November 4, 2022

Posted June 12, 2022

Control and Optimization Seminar Questions or comments?

9:30 am - 10:20 am Zoom (Click “Questions or Comments?” to request a Zoom link)

Naomi Leonard, Princeton University MacArthur Fellow, and Fellow of ASME, IEEE, IFAC, and SIAM.
TBA

Friday, November 11, 2022

Posted August 8, 2022

Control and Optimization Seminar Questions or comments?

9:30 am - 10:20 am Zoom (Click “Questions or Comments?” to request a Zoom link)

Nader Motee, Lehigh University AFOSR YIP and ONR YIP Awardee
Finite-Section Approximation of Carleman Linearization and Its Exponential Convergence

The Carleman linearization is one of the mainstream approaches to lift a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear system with the promise of providing accurate finite-dimensional linear approximations of the original nonlinear system over larger regions around the equilibrium for longer time horizons with respect to the conventional first-order linearization approach. Finite-section approximations of the lifted system has been widely used to study dynamical and control properties of the original nonlinear system. In this context, some of the outstanding problems are to determine under what conditions, as the finite-section order (i.e., truncation length) increases, the trajectory of the resulting approximate linear system from the finite-section scheme converges to that of the original nonlinear system and whether the time interval over which the convergence happens can be quantified explicitly. In this talk, I will present explicit error bounds for the finite-section approximation and prove that the convergence is indeed exponential as a function of finite-section order. For a class of nonlinear systems, it is shown that one can achieve exponential convergence over the entire time horizon up to infinity. Our results are practically plausible, including approximating nonlinear systems for model predictive control and reachability analysis of nonlinear systems for verification, control, and planning purposes, as our proposed error bound estimates can be used to determine proper truncation lengths for a given sampling period.

Friday, November 18, 2022

Posted August 15, 2022

Control and Optimization Seminar Questions or comments?

9:30 am - 10:20 am Zoom (Click “Questions or Comments?” to request a Zoom link)

Domitilla Del Vecchio, Massachusetts Institute of Technology Donald P. Eckman Awardee, IEEE Fellow
TBA