[Turkmath:6113] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!

You are cordially invited to the  Weekly Seminar “Analysis and Applied
Mathematics” on
  Date: Tuesday, May 9, 2023
Time: 12.00-13.00 (Istanbul) = 11.00-12.00 (Ghent) = 15.00-16.00 (Almaty)
Place: Meeting room of Faculty of Engineering and Natural Sciences,
Bahçeşehir University, D-415 Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
 Speaker: Dr. Gökhan Göksu
Yıldız Technical University, Turkiye
Title:  Integral Input-to-State Stability of Time-Delay Systems: Recent
Results and Open Questions
Abstract: Input-to-state stability (ISS) is a widely used tool to analyze
the stability of nonlinear dynamical systems affected by external
disturbances. The ISS property imposes that the dynamical system evolves
properly in the absence of disturbances and it also preserves this nominal
behavior up to a reasonable response to disturbances in the sense that
small disturbances generate small steady-state errors. One of its most
famous extensions is integral ISS (iISS), which relates the solutions' norm
to the input energy, rather than its amplitude. In this talk, we will start
reviewing the basics of the ISS framework. We will then present more
recent extensions
of these results to time-delay systems and underline the key differences
with finite-dimensional systems. We will thereafter present our recent
results on iISS Lyapunov characterizations of time-delay systems and on
growth rate conditions to ensure iISS of time delay systems in cascade. We
will finally list some open questions about the solutions and Lyapunov
characterizations of ISS/iISS time-delay systems.

Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye**  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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