<div dir="ltr"><div><span style="color:rgb(80,0,80)"><div>Dear Colleagues!<br></div><br>You are cordially invited <span>to</span> the </span> <span style="color:rgb(80,0,80)">Weekly </span><span style="color:rgb(80,0,80)">Seminar “Analysis and Applied Mathematics” on</span></div><div>  Date: Tuesday, May 9, 2023 </div><div><span>Time</span>: 12.00-13.00 (Istanbul) = 11.00-12.00 (Ghent) = 15.00-16.00 (Almaty) </div><div>Place: Meeting room of Faculty of Engineering and Natural Sciences, Bahçeşehir University, D-415 Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1</div><div> Speaker: Dr. Gökhan Göksu </div><div>Yıldız Technical University, Turkiye </div><div>Title:  <span>Integral</span> <span>Input</span>-<span>to</span>-<span>State</span> <span>Stability</span> of <span>Time</span>-<span>Delay</span> <span>Systems</span>: <span>Recent</span> <span>Results</span> and <span>Open</span> <span>Questions</span></div><div>Abstract: <span>Input</span>-<span>to</span>-<span>state</span> <span>stability</span> (ISS) is a widely used tool <span>to</span> analyze the <span>stability</span> of nonlinear dynamical <span>systems</span> 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 <span>to</span> a reasonable response <span>to</span> disturbances in the sense that small disturbances generate small steady-<span>state</span> errors. One of its most famous extensions is <span>integral</span> ISS (iISS), which relates the solutions' norm <span>to</span> the <span>input</span> energy, rather than its amplitude. In this talk, we will start reviewing the basics of the ISS framework. We will then present more <span>recent</span> extensions of these <span>results</span> <span>to</span> <span>time</span>-<span>delay</span> <span>systems</span> and underline the key differences with finite-dimensional <span>systems</span>. We will thereafter present our <span>recent</span> <span>results</span> on iISS Lyapunov characterizations of <span>time</span>-<span>delay</span> <span>systems</span> and on growth rate conditions <span>to</span> ensure iISS of <span>time</span> <span>delay</span> <span>systems</span> in cascade. We will finally list some <span>open</span> <span>questions</span> about the solutions and Lyapunov characterizations of ISS/iISS <span>time</span>-<span>delay</span> <span>systems</span>.</div><div>  <br></div><div><div><span style="color:rgb(80,0,80)"><div>Abstracts and forthcoming talks can be found on our webpage<br><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br>With my best wishes</div></span></div></div><div><div dir="ltr" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University,</b></span><b>34349</b><span style="font-size:small"><b>, Istanbul, Turkiye</b></span><b style="font-size:12.8px">  and </b><b style="font-size:12.8px">Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye</b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@eng.bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p></div><div><a href="https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml" target="_blank">https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml</a><br></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></span></font></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div></div>