SPEAKER: Alexandre Seuret, Universidad de Sevilla
TITLE: Legendre polynomials for Delay Systems: Modelling and Stability
DATE & TIME: June 23, 2023, Friday @ 4:00 pm (CET), 7:00 am (PDT), 10:00 am (EDT), 10:00 pm (CST)
REGISTRATION:
https://umich.zoom.us/meeting/register/tJErduqrqzMoG9fdJHMcxah31YkcrERwYkve The registration is free and takes about 30 seconds. If you experience any issues please email orosz@umich.edu
ABSTRACT: Time-delay systems represent a wide class of dynamical systems arising in many applications in electronics, biology, transport, etc.. Their interest in automatic control is natural since they propose many challenging theoretical problems related to their intrinsic infinite-dimensional nature. In particular, their stability analysis has been at the heart of many research works for several decades, and many methods have been developed. Among them, the use of Lyapunov-Krasovskii theorem remains one of the most popular techniques because of its inherent robustness. In this talk, I will review the recent advances on the topic of establishing stability conditions expressed in terms of linear matrix inequalities (LMI). More precisely, I will emphasize the use of the Legendre orthogonal polynomials, to derive efficient modeling of time-delay systems and their interpretations, but also efficient integral inequalities and the associated stability conditions. The structure and the convergence of resulting LMI conditions will also be discussed. Finally, some extensions of this framework to a wider class of systems will be presented. The presentation ends with a recap of the presentation, where several perspectives on future directions of research.
BIOGRAPHY: A. Seuret received the Ph.D. degree in Automatic Control from the ‘Ecole Centrale de Lille’ and the University of Science and Technology of Lille in 2006. From 2006 to 2008, he held one year postdoctoral positions at the University of Leicester (UK) and the Royal Institute of Technology (KTH, Stockholm, Sweden). In 2008, he joined the CNRS as a junior researcher (Chargé de Recherche) at GIPSA-Lab in Grenoble (2008-2012) and at LAAS in Toulouse (2012-2022). In 2018, he was promoted Senior CNRS Researcher (Directeur de Recherche). Since 2022, he has been a researcher at the University of Sevilla, Spain. His research interests include time-delay, sampled-data and networked control systems, stability and control of systems governed by partial differential equations, hybrid dynamical systems, multi-agent and distributed control and estimation.
In the attachment you find a flyer with an announcement of the lecture. We would appreciate it if you could distribute it among your colleagues and students, along with the data to access the seminar.
This webinar series is organized as an activity of the IFAC Working Group on Time Delay Systems, which operates within the Technical Committee of Linear Control Systems of IFAC. The aim of the Working Group is to increase interactions and foster collaborations among researchers interested in time delay systems, not restricting to the systems and control community or to the IFAC Technical Committee. The Working Group focuses on all aspects related to time delay systems: modelling and identification, analysis, filtering and estimation, stability and stabilization, safety, structural properties, robustness, approximation techniques and numerical methods, control schemes and application in process control, vibration control, networked systems, autonomous agents, communication, bio-engineering, economics and other fields.
This year's the program consists of the following speakers:
Rifat Sipahi --- May 26, 16h-17h CET
Alexandre Seuret --- June 23, 16h-17h CET
Jie Chen --- September 15, 16h-17h CET
Nathan van de Wouw --- December 1, 16h-17h CET
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