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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
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