[Turkmath:9515] Yıldız Teknik Üniversitesi Matematik Semineri Duyurusu (27 Şubat Perşembe)

[Ferhat Kürüz]

Değerli Liste Üyeleri,


Aşağıda detaylarını verdiğimiz 27 Şubat Perşembe günü YTÜ Matematik
Bölümünde verilecek 'On Control and Random Dynamical Systems in Reproducing
Kernel Hilbert Spaces' başlıklı seminere
davetlisiniz. Konuşma İngilizce yapılacaktır.

Saygılarımla,
YTÜ Matematik Bölümü Seminer Koordinatörlüğü


Tarih: 27.02.2014
Saat:14:00
Yer: YTÜ Davutpaşa Kampüsü Matematik Bölümü EZ-18

Konuşmacı: Hamzi Boumediene, Ph.D (Imperial College London)

Başlık: On Control and Random Dynamical Systems in Reproducing Kernel
Hilbert Spaces




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Hamzi Boumediene from Imperial College London will give a seminar titled
" On Control and Random Dynamical Systems in Reproducing Kernel Hilbert
Spaces". Seminar will be in English.

Date: Thursday, February 27, 2014
Time: 14:00
Room: EZ-18 (YTU Davutpasa Campus, Department of Mathematics)

Speaker: Hamzi Boumediene, Ph.D (Imperial College London)

Title: On Control and Random Dynamical Systems in Reproducing Kernel
Hilbert Spaces


Abstract:  We introduce a data-based approach to estimating key

quantities which arise in the study of nonlinear control systems
and random nonlinear dynamical systems. Our approach hinges on the
observation that much of the existing linear theory may be readily
extended to nonlinear systems - with a reasonable expectation of
success - once the nonlinear system has been mapped into a high or
infinite dimensional Reproducing Kernel Hilbert Space. In
particular, we develop computable, non-parametric estimators
approximating controllability and observability energy functions
for nonlinear systems, and study the ellipsoids they induce. It is
then shown that the controllability energy estimator provides a key
means for approximating the invariant measure of an ergodic,
stochastically forced nonlinear system. We also apply this approach
to the problem of model reduction of nonlinear control systems. In
all cases the relevant quantities are estimated from simulated or
observed data. These results collectively argue that there is a
reasonable passage from linear dynamical systems theory to a
data-based nonlinear dynamical systems theory through reproducing
kernel Hilbert spaces. This is joint work with J. Bouvrie (MIT).



All interested are invited.
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