two 30 minutes talks given by Constantinos Kitsos (Toulouse, France) and Exequiel Mallea Zepeda (Tarapaca, Chile), see titles and abstracts below.
Talks will be given at
10 AM in Mexico / 1: 00 PM in Chile / 5:00 PM in European Central Time (Berlin, Roma, Madrid, Paris) on Thursday March 18
on the Zoom videoconference platform (ID and access code are given below).
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Speaker 1: Constantinos Kitsos (Toulouse, France)
Title: Output feedback control of an under-actuated and under-observed cascade system of linear Korteweg-de Vries equations.
Abstract: In this talk we will present the stabilization of a cascade system of n linear Korteweg-de Vries equations in a bounded interval. An output feedback control is placed at the left endpoint of the last equation, while the output involves only the solution to the first equation. The boundary control problems investigated include two cases: a classical control on the Dirichlet boundary condition and a less standard one on its second-order derivative. The feedback control law utilizes the estimated solutions of an observer system and the output feedback control leads to stabilization for any n for the first boundary conditions case and for n=2 for the second one. Finally, we will discuss observer and control design problems for systems of PDEs with more general couplings, when we have fewer controls and observations than the number of states. This talk is based on joint work with Eduardo Cerpa, Gildas Besancon, and Christophe Prieur.
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Speaker 2: Exequiel Mallea Zepeda (Tarapaca, Chile)
Title: Optimal control problems related to chemo-repulsion systems.
Abstract: In this talk we present bilinear optimal control problems related to chemo-repulsion systems with linear and superlinear production terms in the 2D case and linear in the 3D case. We establish results on existence of global optimal solutions and derive the respective optimality systems, based on a result of the existence of Lagrange multipliers in Banach spaces. Finally, we analyze the main differences (and difficulties) between the 2D and 3D cases.
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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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