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Την Δευτέρα 05/03/2018 και ώρα 16:00, στο αμφιθέατρο του Κτηρίου Επιστημών, στην Πολυτεχνειούπολη, θα δοθεί ομιλία  με τίτλο "Backstepping Control of PDEs: Basic Theory and Some Recent Results" από τον Καθηγητή Rafael Vazquez (Department of Aerospace Engineering, University of Seville, Spain).

Περίληψη ομιλίας:

PDE backstepping as it is known today was first introduced in the seminal work of Smyshlyaev and Krstic [1]. Their approach, first developed for a general 1-D linear reaction-diffusion-advection PDE, is based on a strategy of first design (in the continuum setting) and then discretize (for implementation and simulation). This presentation will start by introducing the method and explaining some of its basic ingredients (target system, transformation, kernel equations); then, an overview of some of the most recent results will be given, namely: Control of coupled hyperbolic systems [2], control of coupled parabolic systems [3], bilateral control [4], and backstepping for higher-dimensional domains [5]. These results will allow the audience to understand how the three basic ingredients change for different applications. The talk will be finished by introducing some open problems in backstepping whose solution would allow further extensions of the method.

[1] Smyshlyaev A. and Krstic M. IEEE Transactions on Automatic Control, 49, 2185--2202, 2004.

[2] Hu L., Di meglio F., Vazquez R., and Krstic M. IEEE Transactions on Automatic Control, 61, 3301--3314, 2016.

[3] Vazquez R. and Krstic M. IEEE Transactions on Automatic Control, 62, 2026--2033, 2017.

[4] Vazquez R. and Krstic M. IEEE 55th Conference on Decision and Control (CDC), 537--542, 2016.

[5] Vazquez R. and Krstic M. ESAIM: Control, Optimisation, and Calculus of Variations, 22, 1078--1096, 2016.

Σύντομο βιογραφικό:

Rafael Vazquez received the M.S. and Ph.D. degrees in aerospace engineering from the University of California, San Diego (USA), and degrees in electrical engineering and mathematics from the University of Seville (Spain). He is an Associate Professor in the Aerospace Engineering and Fluid Mechanics Department at the University of Seville, where he is currently Chair of the Department. His research interests include control theory, distributed parameter systems, and optimization, with applications to flow control, ATM, UAVs, and orbital mechanics. He is coauthor of the book Control of Turbulent and Magnetohydrodynamic Channel Flows (Birkhauser, 2007). He currently serves as Associate Editor for Automatica.