Course “Mathematical Methods For Control Theory”


“Mathematical Methods For Control Theory” (part V): Introduction to the fractional Laplacian

From April 11th 2018 to April 24th 2018
Fridays and Tuesdays, 11:30-13:00 (except Wednesday, April 11th 2018: 15:30-17:00). Please check Dates and rooms V.

Umberto Biccari & Víctor Hernández-Santamaría

DeustoTech (Bilbao, Basque Country, Spain)
Abstract:
The aim of this course is to present a systematic overview of several mathematical tools which are commonly employed in control theory. The lectures will be organized in various thematic modules, each one developed around a different type of model. We will treat both theoretical and numerical aspects. The lectures during April will be devoted to:
Title:
Introduction to the fractional Laplacian.
Abstract:
Aim of these lectures is to present a brief but systematic introduction to the fractional Laplacian. In the first classes, we will introduce the operator and we will discuss some of its relevant properties. In a second moment, we will focus on applications in PDE theory and, in particular, in control problems.

Dates and rooms V (Today is )

DATE PRESENTER ROOM
Wednesday, April 11th 2018: 15:30-17:00 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Tuesday, April 17th 2018: 11:30-13:00 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, April 20th 2018: 11:30-13:00 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Tuesday, April 24th 2018: 11:30-13:00 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech

"Mathematical Methods For Control Theory" (part IV)

From March 9th 2018 to March 27th 2018
Fridays and Tuesdays, 11:30-13:00. Please check Dates and rooms IV.

Umberto Biccari & Víctor Hernández-Santamaría

DeustoTech (Bilbao, Basque Country, Spain)
Abstract:
The aim of this course is to present a systematic overview of several mathematical tools which are commonly employed in control theory. The lectures will be organized in various thematic modules, each one developed around a different type of model. We will treat both theoretical and numerical aspects.
The lectures during March will be devoted to the problem of computing null-controls for parabolic equations or systems by using the Hilbert Uniqueness Method (HUM). We will review recent results on this subject and we will emphasize on the main ideas underlying the penalized HUM approach.
Three sessions will be delivered by José Vicente Lorenzo from Universidad Autónoma de Madrid (Madrid, Spain) and will be entitled:
Optimal Shape Design with Applications in Fluid Dynamics: How can we design the shape that reduces the energy consumption of an aircraft?

Dates and rooms IV

DATE PRESENTER ROOM
Friday, March 9th 2018 Umberto Biccari & Víctor Hernández-Santamaría EDI Room at DeustoTech
Tuesday, March 13th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, March 16th 2018 José Vicente Lorenzo TIMON Room at DeustoTech
Tuesday, March 20th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, March 23rd 2018 José Vicente Lorenzo TIMON Room at DeustoTech

"Mathematical Methods For Control Theory" (part III)

From February 6th 2018 to February 23rd 2018
Fridays and Tuesdays, 11:30-13:00. Please check Dates and rooms III.

Umberto Biccari & Víctor Hernández-Santamaría

DeustoTech (Bilbao, Basque Country, Spain)
Abstract:
The aim of this course is to present a systematic overview of several mathematical tools which are commonly employed in control theory. The lectures will be organized in various thematic modules, each one developed around a different type of model. We will treat both theoretical and numerical aspects.
The lectures during February will be devoted to the controllability of the heat equation and Carleman inequalities.
Two sessions will be delivered by Jerome Loheac from University of Lorraine (CRAN), Nancy, France and will be entitled:
Pontryagin maximum principle, consequences and extentions
In these talks, I will introduce the Pontryagin maximum principle. This principle gives necessary conditions on optimal control problems. I will give different examples illustrating how this principle can help for finding optimal controls. I will in particular focus on time optimal control problems and will give some extensions of this principle to some infinite dimensional control problem.-->


Dates and rooms III

DATE PRESENTER ROOM
Tuesday, February 6th 2018 Jérôme Lohéac TIMON Room at DeustoTech
Friday, February 9th 2018 Jérôme Lohéac TIMON Room at DeustoTech
Tuesday, February 13th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, February 16th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech

"Mathematical Methods For Control Theory" (part II)

From January 9th 2018 to January 30th 2018
Fridays and Tuesdays, 11:30-13:00. Please check Dates and rooms II.

Umberto Biccari & Víctor Hernández-Santamaría

DeustoTech (Bilbao, Basque Country, Spain)
Abstract:
The aim of this course is to present a systematic overview of several mathematical tools which are commonly employed in control theory. The lectures will be organized in various thematic modules, each one developed around a different type of model. We will treat both theoretical and numerical aspects.
The lectures during January will be devoted to the controllability of the heat equation and spectral methods.

Four sessions will be delivered by Prof. Sorin Micu from the University of Craiova.
Dates and rooms II

DATE PRESENTER ROOM
Tuesday, January 9th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, January 12th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Tuesday, January 16th 2018 Umberto Biccari & Víctor Hernández-Santamaría TIMON Room at DeustoTech
Friday, January 19th 2018 Sorin Micu TIMON Room at DeustoTech
Tuesday, January 23th 2018 Sorin Micu TIMON Room at DeustoTech
Friday, January 26th 2018 Sorin Micu TIMON Room at DeustoTech
Tuesday, January 30th 2018 Sorin Micu TIMON Room at DeustoTech

"Mathematical Methods For Control Theory" (part I)

From September 29th 2017 to October 6th 2017 and from October 24th 2017 to November 28th 2017
Fridays and Tuesdays, 11:30-13:00. Please check Dates and rooms I.

Umberto Biccari Ph.D & Víctor Hernández-Santamaría Ph.D

DeustoTech (Bilbao, Basque Country, Spain)
Abstract:
The aim of this course is to present a systematic overview of several mathematical tools which are commonly employed in control theory. The lectures will be organized in various thematic modules, each one developed around a different type of model. We will treat both theoretical and numerical aspects.
The topic of the first lectures will be: "Optimal control of elliptic equations".
Dates and rooms I

DATE ROOM
Friday, September 29th 2017 Right Central Meeting Room at DeustoTech
Tuesday, October 3rd 2017 Right Central Meeting Room at DeustoTech
Friday, October 6th 2017 Right Central Meeting Room at DeustoTech
Tuesday, October 24th 2017 TIMON Room at DeustoTech
Friday, October 27th 2017 TIMON Room at DeustoTech
Tuesday, October 31st 2017 TIMON Room at DeustoTech
Friday, November 3rd 2017 TIMON Room at DeustoTech
Tuesday, November 7th 2017 EDI Room at DeustoTech
Tuesday, November 10th 2017 TIMON Room at DeustoTech
Tuesday, November 14th 2017 TIMON Room at DeustoTech
Friday, November 17th 2017
Thursday, November 16th 2017
TIMON Room at DeustoTech
Tuesday, November 21st 2017 TIMON Room at DeustoTech
Friday, November 24th 2017 TIMON Room at DeustoTech
Tuesday, November 28th 2017 TIMON Room at DeustoTech
Thursday, November 30th 2017 TIMON Room at DeustoTech