The next talk of the webinar Control in Times of Crisis
http://ctcseminar.mat.utfsm.cl/ will be given by Alessandro Alla (PUC - Rio, Brazil), see title and abstract below.
Talks will be given at
10 AM in Mexico / 11: 00 AM in Chile / 12:00 PM in Brazil / 5:00 PM in European Central Time (Berlin, Roma, Madrid, Paris) on Thursday Mai 13
on the Zoom videoconference platform (ID and access code are given below).
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Speaker : Alessandro Alla (PUC - Rio, Brazil)
Title: HJB-RBF based approach for the control of PDEs
Abstract: Semi-Lagranian schemes for discretization of the dynamic programming principle are based on a time discretization projected on a state-space grid. The use of a structured grid makes this approach not feasible for high-dimensional problems due to the curse of dimensionality. Here, we present a new approach for infinite horizon optimal control problems where the value function is computed using Radial Basis Functions (RBF) and Shepard’s moving least squares approximation method on scattered grids. We propose a new method to generate a scattered mesh driven by the dynamics and the selection of the shape parameter in the RBF using an optimization routine. Numerical tests for high dimensional problems will show the effectiveness of the proposed method. Joint work with H. Oliveira (PUC-Rio, Brazil) and G. Santin (FBK, Italy).
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To connect to the ZOOM meeting:
https://us02web.zoom.us/j/95545768919?pwd=MDljR0hXRnF4ZTNPeUhqQTBnRVlEQT09
ID de reunión: 955 4576 8919
Código de acceso: CTC2020
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