BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250724T222533EDT-44247mnDGh@132.216.98.100 DTSTAMP:20250725T022533Z DESCRIPTION:Virtual Informal Systems Seminar (VISS)\n\nCentre for Intellige nt Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decis ions (GERAD)\n \n Zoom Link\n Meeting ID: 910 7928 6959        \n Passcode: VI SS\n \n Speaker: Emmanuel Trélat\, Professor\, Sorbonne Université\, Laborat oire Jacques-Louis Lions\, CNRS\n \n Abstract:\n I will first recall some res ults on how to achieve consensus for well known classes of systems\, like the celebrated Cucker-Smale or Hegselmann-Krause models. When the systems are symmetric\, convergence to consensus is classically established by pro ving\, for instance\, that the usual variance is an exponentially decreasi ng Lyapunov function: this is a 'L^2 theory'. When the systems are not sym metric\, no L^2 theory existed until now and convergence was proved by mea ns of a 'L^\infty theory'.\n In this talk I will show how to develop a L^2 theory by designing an adequately weighted variance\, and how to obtain th e sharp rate of exponential convergence to consensus for general finite an d infinite-dimensional linear first-order consensus systems.\n If time allo ws\, I will show applications in which one is interested in controlling vo te behaviors in an opinion model.\n \n Biography:\n Emmanuel Trélat is full p rofessor at Sorbonne Université in Paris\, he is the director of Laboratoi re Jacques-Louis Lions. His interests range over control theory in finite and infinite dimension\, optimal control\, stabilization\, geometry\, and numerical issues. He has been awarded several prizes\, among which the Fel ix Klein Prize by the EMS in 2012 for his achievements on the optimal guid ance of Ariane launchers\, and has been an invited speaker at ICM in 2018. He is the current editor in chief of the journal COCV (Control Calculus o f Variations and Optimization). \n DTSTART:20220114T150000Z DTEND:20220114T160000Z SUMMARY:Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions URL:/cim/channels/event/exponential-convergence-toward s-consensus-non-symmetric-linear-first-order-systems-finite-and-336094 END:VEVENT END:VCALENDAR